478315656 has 144 divisors (see below), whose sum is σ = 1623012300. Its totient is φ = 126137088.

The previous prime is 478315639. The next prime is 478315661. The reversal of 478315656 is 656513874.

478315656 is a `hidden beast` number, since 4 + 7 + 83 + 1 + 565 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 467856900 + 10458756 = 21630^2 + 3234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40650 + ... + 51078.

Almost surely, 2^478315656 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 478315656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811506150).

478315656 is an abundant number, since it is smaller than the sum of its proper divisors (1144696644).

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

478315656 is a wasteful number, since it uses less digits than its factorization.

478315656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468 (or 10454 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 478315656 is about 21870.4288023806. The cubic root of 478315656 is about 782.0566238218.

The spelling of 478315656 in words is "four hundred seventy-eight million, three hundred fifteen thousand, six hundred fifty-six".