477803304 has 192 divisors, whose sum is σ = 1485993600. Its totient is φ = 137356800.

The previous prime is 477803273. The next prime is 477803327. The reversal of 477803304 is 403308774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1630582 + ... + 1630874.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^477803304 is an apocalyptic number.

477803304 is a gapful number since it is divisible by the number (44) 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 477803304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

477803304 is an abundant number, since it is smaller than the sum of its proper divisors (1008190296).

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

477803304 is a wasteful number, since it uses less digits than its factorization.

477803304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 477803304 is about 21858.7123134003. The cubic root of 477803304 is about 781.7772884621. Note that the first 3 decimals are identical.

The spelling of 477803304 in words is "four hundred seventy-seven million, eight hundred three thousand, three hundred four".