478686080 has 64 divisors (see below), whose sum is σ = 1154660400. Its totient is φ = 189751296.

The previous prime is 478686079. The next prime is 478686101. The reversal of 478686080 is 80686874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69011 + ... + 75629.

Almost surely, 2^478686080 is an apocalyptic number.

478686080 is a gapful number since it is divisible by the number (40) 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 478686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577330200).

478686080 is an abundant number, since it is smaller than the sum of its proper divisors (675974320).

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

478686080 is a wasteful number, since it uses less digits than its factorization.

478686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 478686080 is about 21878.8957673828. The cubic root of 478686080 is about 782.2584555262.

The spelling of 478686080 in words is "four hundred seventy-eight million, six hundred eighty-six thousand, eighty".