477296064 has 210 divisors, whose sum is σ = 1646727720. Its totient is φ = 136297728.

The previous prime is 477295997. The next prime is 477296089. The reversal of 477296064 is 460692774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253077 + ... + 254955.

Almost surely, 2^477296064 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 477296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823363860).

477296064 is an abundant number, since it is smaller than the sum of its proper divisors (1169431656).

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

477296064 is a wasteful number, since it uses less digits than its factorization.

477296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1891 counting only the distinct ones).

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

The square root of 477296064 is about 21847.1065361068. The cubic root of 477296064 is about 781.5005433958.

The spelling of 477296064 in words is "four hundred seventy-seven million, two hundred ninety-six thousand, sixty-four".