477873864 has 256 divisors, whose sum is σ = 1542240000. Its totient is φ = 136670976.

The previous prime is 477873857. The next prime is 477873937. The reversal of 477873864 is 468378774.

477873864 is a `hidden beast` number, since 477 + 87 + 38 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6322176) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 477873864.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9016462 + ... + 9016514.

It is an arithmetic number, because the mean of its divisors is an integer number (6024375).

Almost surely, 2^477873864 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 477873864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120000).

477873864 is an abundant number, since it is smaller than the sum of its proper divisors (1064366136).

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

477873864 is a wasteful number, since it uses less digits than its factorization.

477873864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 477873864 is about 21860.3262555708. The cubic root of 477873864 is about 781.8157697715.

The spelling of 477873864 in words is "four hundred seventy-seven million, eight hundred seventy-three thousand, eight hundred sixty-four".