477509904 has 75 divisors (see below), whose sum is σ = 1384332807. Its totient is φ = 158907744.

The previous prime is 477509819. The next prime is 477509917. The reversal of 477509904 is 409905774.

The square root of 477509904 is 21852.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 477509904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 786369 + ... + 786975.

Almost surely, 2^477509904 is an apocalyptic number.

477509904 is the 21852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477509904

477509904 is an abundant number, since it is smaller than the sum of its proper divisors (906822903).

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

477509904 is an frugal number, since it uses more digits than its factorization.

477509904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The cubic root of 477509904 is about 781.6172362535.

The spelling of 477509904 in words is "four hundred seventy-seven million, five hundred nine thousand, nine hundred four".