478320810 has 64 divisors (see below), whose sum is σ = 1254766464. Its totient is φ = 115731200.

The previous prime is 478320803. The next prime is 478320827. The reversal of 478320810 is 18023874.

It is a super-2 number, since 2×478320810² = 457581594558112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222340 + ... + 224480.

It is an arithmetic number, because the mean of its divisors is an integer number (19605726).

Almost surely, 2^478320810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478320810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627383232).

478320810 is an abundant number, since it is smaller than the sum of its proper divisors (776445654).

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

478320810 is a wasteful number, since it uses less digits than its factorization.

478320810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 478320810 is about 21870.5466324004. The cubic root of 478320810 is about 782.0594327795.

The spelling of 478320810 in words is "four hundred seventy-eight million, three hundred twenty thousand, eight hundred ten".