478775664 has 80 divisors (see below), whose sum is σ = 1379569440. Its totient is φ = 158976000.

The previous prime is 478775657. The next prime is 478775677. The reversal of 478775664 is 466577874.

478775664 is a `hidden beast` number, since 4 + 7 + 8 + 77 + 566 + 4 = 666.

It is a super-2 number, since 2×478775664² = 458452272877281792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 478775664.

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, 117664 + ... + 121664.

It is an arithmetic number, because the mean of its divisors is an integer number (17244618).

Almost surely, 2^478775664 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 478775664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689784720).

478775664 is an abundant number, since it is smaller than the sum of its proper divisors (900793776).

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

478775664 is a wasteful number, since it uses less digits than its factorization.

478775664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4283 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 478775664 is about 21880.9429412903. The cubic root of 478775664 is about 782.3072512285.

The spelling of 478775664 in words is "four hundred seventy-eight million, seven hundred seventy-five thousand, six hundred sixty-four".