| Base | Representation |
|---|---|
| bin | 10111111001100… |
| … | …100001110100000 |
| 3 | 1000221111012201100 |
| 4 | 113321210032200 |
| 5 | 1310121412220 |
| 6 | 103442034400 |
| 7 | 12636105501 |
| oct | 2771441640 |
| 9 | 1027435640 |
| 10 | 400966560 |
| 11 | 196376125 |
| 12 | b2348a00 |
| 13 | 650bc527 |
| 14 | 3b376ba8 |
| 15 | 25304d90 |
| hex | 17e643a0 |
400966560 has 144 divisors (see below), whose sum is σ = 1374268896. Its totient is φ = 106458624.
The previous prime is 400966547. The next prime is 400966583. The reversal of 400966560 is 65669004.
It is a happy number.
400966560 is a `hidden beast` number, since 4 + 0 + 0 + 96 + 6 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441627 + ... + 442533.
It is an arithmetic number, because the mean of its divisors is an integer number (9543534).
Almost surely, 2400966560 is an apocalyptic number.
400966560 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 400966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687134448).
400966560 is an abundant number, since it is smaller than the sum of its proper divisors (973302336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
400966560 is a wasteful number, since it uses less digits than its factorization.
400966560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1235 (or 1224 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 400966560 is about 20024.1494201377. The cubic root of 400966560 is about 737.3992952603.
It can be divided in two parts, 40096 and 6560, that added together give a 6-th power (46656 = 66).
The spelling of 400966560 in words is "four hundred million, nine hundred sixty-six thousand, five hundred sixty".
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