478260816 has 80 divisors (see below), whose sum is σ = 1384310208. Its totient is φ = 141004800.

The previous prime is 478260803. The next prime is 478260823. The reversal of 478260816 is 618062874.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7296 + ... + 31776.

Almost surely, 2^478260816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478260816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692155104).

478260816 is an abundant number, since it is smaller than the sum of its proper divisors (906049392).

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

478260816 is a wasteful number, since it uses less digits than its factorization.

478260816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24540 (or 24534 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 478260816 is about 21869.1750187336. The cubic root of 478260816 is about 782.0267344772.

The spelling of 478260816 in words is "four hundred seventy-eight million, two hundred sixty thousand, eight hundred sixteen".