478757664 has 144 divisors (see below), whose sum is σ = 1697492160. Its totient is φ = 124346880.

The previous prime is 478757663. The next prime is 478757677. The reversal of 478757664 is 466757874.

478757664 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 478757664.

It is not an unprimeable number, because it can be changed into a prime (478757663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11382 + ... + 32970.

It is an arithmetic number, because the mean of its divisors is an integer number (11788140).

Almost surely, 2^478757664 is an apocalyptic number.

478757664 is a gapful number since it is divisible by the number (44) 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 478757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848746080).

478757664 is an abundant number, since it is smaller than the sum of its proper divisors (1218734496).

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

478757664 is a wasteful number, since it uses less digits than its factorization.

478757664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21623 (or 21612 counting only the distinct ones).

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

The square root of 478757664 is about 21880.5316205983. The cubic root of 478757664 is about 782.2974472583.

The spelling of 478757664 in words is "four hundred seventy-eight million, seven hundred fifty-seven thousand, six hundred sixty-four".