476792064 has 432 divisors, whose sum is σ = 1744823808. Its totient is φ = 122093568.

The previous prime is 476792053. The next prime is 476792119. The reversal of 476792064 is 460297674.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10144489 + ... + 10144535.

It is an arithmetic number, because the mean of its divisors is an integer number (4038944).

Almost surely, 2^476792064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872411904).

476792064 is an abundant number, since it is smaller than the sum of its proper divisors (1268031744).

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

476792064 is a wasteful number, since it uses less digits than its factorization.

476792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 476792064 is about 21835.5687812340. The cubic root of 476792064 is about 781.2253717762.

The spelling of 476792064 in words is "four hundred seventy-six million, seven hundred ninety-two thousand, sixty-four".