580461120 has 336 divisors, whose sum is σ = 2157496320. Its totient is φ = 146893824.

The previous prime is 580461083. The next prime is 580461137. The reversal of 580461120 is 21164085.

580461120 is a `hidden beast` number, since 5 + 80 + 461 + 120 = 666.

It is a super-2 number, since 2×580461120² = 673870223663308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4570497 + ... + 4570623.

It is an arithmetic number, because the mean of its divisors is an integer number (6421120).

Almost surely, 2^580461120 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 580461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078748160).

580461120 is an abundant number, since it is smaller than the sum of its proper divisors (1577035200).

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

580461120 is a wasteful number, since it uses less digits than its factorization.

580461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 580461120 is about 24092.7607384459. The cubic root of 580461120 is about 834.1760406815.

The spelling of 580461120 in words is "five hundred eighty million, four hundred sixty-one thousand, one hundred twenty".