580412772 has 18 divisors (see below), whose sum is σ = 1467154598. Its totient is φ = 193470912.

The previous prime is 580412737. The next prime is 580412801. The reversal of 580412772 is 277214085.

580412772 is a `hidden beast` number, since 580 + 4 + 1 + 2 + 7 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 487791396 + 92621376 = 22086^2 + 9624^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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), and also a Moran number because the ratio is a prime number: 16122577 = 580412772 / (5 + 8 + 0 + 4 + 1 + 2 + 7 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8061253 + ... + 8061324.

Almost surely, 2^580412772 is an apocalyptic number.

It is an amenable number.

580412772 is an abundant number, since it is smaller than the sum of its proper divisors (886741826).

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

580412772 is a wasteful number, since it uses less digits than its factorization.

580412772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16122587 (or 16122582 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 580412772 is about 24091.7573456151. The cubic root of 580412772 is about 834.1528798635.

The spelling of 580412772 in words is "five hundred eighty million, four hundred twelve thousand, seven hundred seventy-two".