478692864 has 240 divisors, whose sum is σ = 1523746224. Its totient is φ = 143769600.

The previous prime is 478692839. The next prime is 478692871. The reversal of 478692864 is 468296874.

478692864 is a `hidden beast` number, since 478 + 6 + 92 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 478692864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3654079 + ... + 3654209.

Almost surely, 2^478692864 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 478692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761873112).

478692864 is an abundant number, since it is smaller than the sum of its proper divisors (1045053360).

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

478692864 is a wasteful number, since it uses less digits than its factorization.

478692864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 478692864 is about 21879.0508020801. The cubic root of 478692864 is about 782.2621509309.

The spelling of 478692864 in words is "four hundred seventy-eight million, six hundred ninety-two thousand, eight hundred sixty-four".