| Base | Representation |
|---|---|
| bin | 10111111001011… |
| … | …000000110010000 |
| 3 | 1000221101200120100 |
| 4 | 113321120012100 |
| 5 | 1310113320010 |
| 6 | 103441012400 |
| 7 | 12635510610 |
| oct | 2771300620 |
| 9 | 1027350510 |
| 10 | 400916880 |
| 11 | 196341871 |
| 12 | b2324100 |
| 13 | 650a2a30 |
| 14 | 3b362a40 |
| 15 | 252e52c0 |
| hex | 17e58190 |
400916880 has 480 divisors, whose sum is σ = 1722389760. Its totient is φ = 81285120.
The previous prime is 400916837. The next prime is 400916897. The reversal of 400916880 is 88619004.
It is a happy number.
It is a super-3 number, since 3×4009168803 (a number of 27 digits) contains 333 as substring.
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 pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1899975 + ... + 1900185.
It is an arithmetic number, because the mean of its divisors is an integer number (3588312).
Almost surely, 2400916880 is an apocalyptic number.
400916880 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 400916880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861194880).
400916880 is an abundant number, since it is smaller than the sum of its proper divisors (1321472880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
400916880 is a wasteful number, since it uses less digits than its factorization.
400916880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 400916880 is about 20022.9088795809. The cubic root of 400916880 is about 737.3688392625.
It can be divided in two parts, 40091 and 6880, that added together give a triangular number (46971 = T306).
The spelling of 400916880 in words is "four hundred million, nine hundred sixteen thousand, eight hundred eighty".
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