478013264 has 20 divisors (see below), whose sum is σ = 958087860. Its totient is φ = 230764800.

The previous prime is 478013243. The next prime is 478013297. The reversal of 478013264 is 462310874.

It can be written as a sum of positive squares in 2 ways, for example, as 259210000 + 218803264 = 16100^2 + 14792^2 .

It is a super-3 number, since 3×478013264³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514637 + ... + 515564.

It is an arithmetic number, because the mean of its divisors is an integer number (47904393).

Almost surely, 2^478013264 is an apocalyptic number.

It is an amenable number.

478013264 is an abundant number, since it is smaller than the sum of its proper divisors (480074596).

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

478013264 is a wasteful number, since it uses less digits than its factorization.

478013264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030238 (or 1030232 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 478013264 is about 21863.5144475905. The cubic root of 478013264 is about 781.8917832211.

The spelling of 478013264 in words is "four hundred seventy-eight million, thirteen thousand, two hundred sixty-four".