478723600 has 30 divisors (see below), whose sum is σ = 1150134410. Its totient is φ = 191489280.

The previous prime is 478723591. The next prime is 478723627. The reversal of 478723600 is 6327874.

It can be written as a sum of positive squares in 3 ways, for example, as 2262016 + 476461584 = 1504^2 + 21828^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 478723600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 598005 + ... + 598804.

Almost surely, 2^478723600 is an apocalyptic number.

478723600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478723600 is an abundant number, since it is smaller than the sum of its proper divisors (671410810).

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

478723600 is a wasteful number, since it uses less digits than its factorization.

478723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196827 (or 1196816 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 478723600 is about 21879.7531978768. The cubic root of 478723600 is about 782.2788931169.

The spelling of 478723600 in words is "four hundred seventy-eight million, seven hundred twenty-three thousand, six hundred".