58479264 has 72 divisors (see below), whose sum is σ = 175069440. Its totient is φ = 18465408.

The previous prime is 58479259. The next prime is 58479329. The reversal of 58479264 is 46297485.

It is a happy number.

58479264 is a `hidden beast` number, since 584 + 7 + 9 + 2 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129 + ... + 10815.

It is an arithmetic number, because the mean of its divisors is an integer number (2431520).

Almost surely, 2^58479264 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 58479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87534720).

58479264 is an abundant number, since it is smaller than the sum of its proper divisors (116590176).

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

58479264 is a wasteful number, since it uses less digits than its factorization.

58479264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722 (or 10711 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 58479264 is about 7647.1735955188. The cubic root of 58479264 is about 388.1509314670.

The spelling of 58479264 in words is "fifty-eight million, four hundred seventy-nine thousand, two hundred sixty-four".