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397456956 = 223413197479
BaseRepresentation
bin10111101100001…
…011011000111100
31000200212220110000
4113230023120330
51303222110311
6103234514300
712564220431
oct2754133074
91020786400
10397456956
11194399326
12b1135990
1364460c40
143ab01b88
1524d60056
hex17b0b63c

397456956 has 120 divisors (see below), whose sum is σ = 1126984320. Its totient is φ = 121419648.

The previous prime is 397456949. The next prime is 397456973. The reversal of 397456956 is 659654793.

397456956 is a `hidden beast` number, since 3 + 9 + 74 + 569 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 829525 + ... + 830003.

It is an arithmetic number, because the mean of its divisors is an integer number (9391536).

Almost surely, 2397456956 is an apocalyptic number.

397456956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397456956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563492160).

397456956 is an abundant number, since it is smaller than the sum of its proper divisors (729527364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

397456956 is a wasteful number, since it uses less digits than its factorization.

397456956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 397456956 is about 19936.3225294937. The cubic root of 397456956 is about 735.2415366106.

The spelling of 397456956 in words is "three hundred ninety-seven million, four hundred fifty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 197 234 324 351 394 468 479 591 702 788 958 1053 1182 1404 1437 1773 1916 2106 2364 2561 2874 3546 4212 4311 5122 5319 5748 6227 7092 7683 8622 10244 10638 12454 12933 15366 15957 17244 18681 21276 23049 24908 25866 30732 31914 37362 38799 46098 51732 56043 63828 69147 74724 77598 92196 94363 112086 138294 155196 168129 188726 207441 224172 276588 283089 336258 377452 414882 504387 566178 672516 829764 849267 1008774 1132356 1226719 1698534 2017548 2453438 2547801 3397068 3680157 4906876 5095602 7360314 7643403 10191204 11040471 14720628 15286806 22080942 30573612 33121413 44161884 66242826 99364239 132485652 198728478 397456956