476906918400 has 960 divisors, whose sum is σ = 1920437798400. Its totient is φ = 114960384000.

The previous prime is 476906918399. The next prime is 476906918429. The reversal of 476906918400 is 4819609674.

476906918400 is a `hidden beast` number, since 476 + 9 + 0 + 6 + 91 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1258329411 + ... + 1258329789.

It is an arithmetic number, because the mean of its divisors is an integer number (2000456040).

Almost surely, 2^476906918400 is an apocalyptic number.

476906918400 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 476906918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960218899200).

476906918400 is an abundant number, since it is smaller than the sum of its proper divisors (1443530880000).

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

476906918400 is a wasteful number, since it uses less digits than its factorization.

476906918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 476906918400 in words is "four hundred seventy-six billion, nine hundred six million, nine hundred eighteen thousand, four hundred".