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400454544 = 2437412709
BaseRepresentation
bin10111110111100…
…111001110010000
31000220112012100210
4113313213032100
51310004021134
6103423044120
712631543650
oct2767471620
91026465323
10400454544
11196056476
12b2140640
1364c70469
143b282360
15252532e9
hex17de7390

400454544 has 120 divisors (see below), whose sum is σ = 1213543360. Its totient is φ = 111467520.

The previous prime is 400454543. The next prime is 400454557. The reversal of 400454544 is 445454004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (400454543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564462 + ... + 565170.

Almost surely, 2400454544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400454544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606771680).

400454544 is an abundant number, since it is smaller than the sum of its proper divisors (813088816).

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

400454544 is a wasteful number, since it uses less digits than its factorization.

400454544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 400454544 is about 20011.3603735478. The cubic root of 400454544 is about 737.0852864805.

Adding to 400454544 its product of nonzero digits (25600), we get a square (400480144 = 200122).

The spelling of 400454544 in words is "four hundred million, four hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 709 861 984 1148 1418 1681 1722 1968 2127 2296 2836 3362 3444 4254 4592 4963 5043 5672 6724 6888 8508 9926 10086 11344 11767 13448 13776 14889 17016 19852 20172 23534 26896 29069 29778 34032 35301 39704 40344 47068 58138 59556 70602 79408 80688 87207 94136 116276 119112 141204 174414 188272 203483 232552 238224 282408 348828 406966 465104 564816 610449 697656 813932 1191829 1220898 1395312 1627864 2383658 2441796 3255728 3575487 4767316 4883592 7150974 8342803 9534632 9767184 14301948 16685606 19069264 25028409 28603896 33371212 50056818 57207792 66742424 100113636 133484848 200227272 400454544