580870400 has 216 divisors, whose sum is σ = 1618063104. Its totient is φ = 204595200.

The previous prime is 580870393. The next prime is 580870421. The reversal of 580870400 is 4078085.

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

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 23 ways as a sum of consecutive naturals, for example, 2604689 + ... + 2604911.

Almost surely, 2^580870400 is an apocalyptic number.

580870400 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 580870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809031552).

580870400 is an abundant number, since it is smaller than the sum of its proper divisors (1037192704).

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

580870400 is a wasteful number, since it uses less digits than its factorization.

580870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

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

The square root of 580870400 is about 24101.2530794563. The cubic root of 580870400 is about 834.3720522931.

The spelling of 580870400 in words is "five hundred eighty million, eight hundred seventy thousand, four hundred".