476477462400 has 384 divisors, whose sum is σ = 1607708528640. Its totient is φ = 123985305600.

The previous prime is 476477462381. The next prime is 476477462467. The reversal of 476477462400 is 4264774674.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×476477462400³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97178349 + ... + 97183251.

It is an arithmetic number, because the mean of its divisors is an integer number (4186740960).

Almost surely, 2^476477462400 is an apocalyptic number.

476477462400 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 476477462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803854264320).

476477462400 is an abundant number, since it is smaller than the sum of its proper divisors (1131231066240).

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

476477462400 is a wasteful number, since it uses less digits than its factorization.

476477462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 51.

The spelling of 476477462400 in words is "four hundred seventy-six billion, four hundred seventy-seven million, four hundred sixty-two thousand, four hundred".