58480704 has 140 divisors (see below), whose sum is σ = 179793900. Its totient is φ = 18772992.

The previous prime is 58480703. The next prime is 58480711. The reversal of 58480704 is 40708485.

58480704 is a `hidden beast` number, since 584 + 8 + 0 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21902400 + 36578304 = 4680^2 + 6048^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58480703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150142 + ... + 150530.

Almost surely, 2^58480704 is an apocalyptic number.

58480704 is a gapful number since it is divisible by the number (54) 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 58480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89896950).

58480704 is an abundant number, since it is smaller than the sum of its proper divisors (121313196).

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

58480704 is a wasteful number, since it uses less digits than its factorization.

58480704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 58480704 is about 7647.2677473723. The cubic root of 58480704 is about 388.1541173983.

The spelling of 58480704 in words is "fifty-eight million, four hundred eighty thousand, seven hundred four".