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406560 = 25357112
BaseRepresentation
bin1100011010000100000
3202122200210
41203100200
5101002220
612414120
73312210
oct1432040
9678623
10406560
11258500
12177340
1311308b
14a8240
15806e0
hex63420

406560 has 144 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 84480.

The previous prime is 406559. The next prime is 406561. The reversal of 406560 is 65604.

It is an interprime number because it is at equal distance from previous prime (406559) and next prime (406561).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36955 + ... + 36965.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2406560 is an apocalyptic number.

406560 is a gapful number since it is divisible by the number (40) 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 406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

406560 is an abundant number, since it is smaller than the sum of its proper divisors (1202208).

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

406560 is a wasteful number, since it uses less digits than its factorization.

406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 406560 is about 637.6205768323. The cubic root of 406560 is about 74.0812353570.

The spelling of 406560 in words is "four hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 96 105 110 112 120 121 132 140 154 160 165 168 176 210 220 224 231 240 242 264 280 308 330 336 352 363 385 420 440 462 480 484 528 560 605 616 660 672 726 770 840 847 880 924 968 1056 1120 1155 1210 1232 1320 1452 1540 1680 1694 1760 1815 1848 1936 2310 2420 2464 2541 2640 2904 3080 3360 3388 3630 3696 3872 4235 4620 4840 5082 5280 5808 6160 6776 7260 7392 8470 9240 9680 10164 11616 12320 12705 13552 14520 16940 18480 19360 20328 25410 27104 29040 33880 36960 40656 50820 58080 67760 81312 101640 135520 203280 406560