476708774400 has 720 divisors, whose sum is σ = 1822163016960. Its totient is φ = 118753689600.

The previous prime is 476708774389. The next prime is 476708774413. The reversal of 476708774400 is 4477807674.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103562499 + ... + 103567101.

It is an arithmetic number, because the mean of its divisors is an integer number (2530781968).

Almost surely, 2^476708774400 is an apocalyptic number.

476708774400 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 476708774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911081508480).

476708774400 is an abundant number, since it is smaller than the sum of its proper divisors (1345454242560).

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

476708774400 is a wasteful number, since it uses less digits than its factorization.

476708774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 476708774400 in words is "four hundred seventy-six billion, seven hundred eight million, seven hundred seventy-four thousand, four hundred".