478286400 has 84 divisors (see below), whose sum is σ = 1569193712. Its totient is φ = 127541760.

The previous prime is 478286387. The next prime is 478286453. The reversal of 478286400 is 4682874.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45022 + ... + 54621.

Almost surely, 2^478286400 is an apocalyptic number.

478286400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478286400 is an abundant number, since it is smaller than the sum of its proper divisors (1090907312).

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

478286400 is a wasteful number, since it uses less digits than its factorization.

478286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99668 (or 99653 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 478286400 is about 21869.7599438128. The cubic root of 478286400 is about 782.0406787621.

The spelling of 478286400 in words is "four hundred seventy-eight million, two hundred eighty-six thousand, four hundred".