580485600 has 216 divisors, whose sum is σ = 2103224760. Its totient is φ = 150543360.

The previous prime is 580485599. The next prime is 580485613. The reversal of 580485600 is 6584085.

It is a happy number.

580485600 is a `hidden beast` number, since 5 + 8 + 0 + 48 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 265311 + ... + 267489.

Almost surely, 2^580485600 is an apocalyptic number.

580485600 is a gapful number since it is divisible by the number (50) 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 580485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051612380).

580485600 is an abundant number, since it is smaller than the sum of its proper divisors (1522739160).

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

580485600 is a wasteful number, since it uses less digits than its factorization.

580485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 580485600 is about 24093.2687695132. The cubic root of 580485600 is about 834.1877671875.

The spelling of 580485600 in words is "five hundred eighty million, four hundred eighty-five thousand, six hundred".