580272800 has 36 divisors (see below), whose sum is σ = 1416592926. Its totient is φ = 232108800.

The previous prime is 580272799. The next prime is 580272817. The reversal of 580272800 is 8272085.

It can be written as a sum of positive squares in 3 ways, for example, as 251793424 + 328479376 = 15868^2 + 18124^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 361871 + ... + 363470.

Almost surely, 2^580272800 is an apocalyptic number.

580272800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

580272800 is an abundant number, since it is smaller than the sum of its proper divisors (836320126).

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

580272800 is a wasteful number, since it uses less digits than its factorization.

580272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725361 (or 725348 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 580272800 is about 24088.8521934940. The cubic root of 580272800 is about 834.0858198679.

The spelling of 580272800 in words is "five hundred eighty million, two hundred seventy-two thousand, eight hundred".