478968480 has 72 divisors (see below), whose sum is σ = 1634484852. Its totient is φ = 127724544.

The previous prime is 478968463. The next prime is 478968517. The reversal of 478968480 is 84869874.

478968480 is a `hidden beast` number, since 4 + 78 + 96 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 444535056 + 34433424 = 21084^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164869 + ... + 167748.

Almost surely, 2^478968480 is an apocalyptic number.

478968480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478968480 is an abundant number, since it is smaller than the sum of its proper divisors (1155516372).

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

478968480 is a wasteful number, since it uses less digits than its factorization.

478968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332638 (or 332627 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 478968480 is about 21885.3485236128. The cubic root of 478968480 is about 782.4122559461.

The spelling of 478968480 in words is "four hundred seventy-eight million, nine hundred sixty-eight thousand, four hundred eighty".