580382400 has 336 divisors, whose sum is σ = 2095365888. Its totient is φ = 139776000.

The previous prime is 580382399. The next prime is 580382419. The reversal of 580382400 is 4283085.

580382400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4430335 + ... + 4430465.

It is an arithmetic number, because the mean of its divisors is an integer number (6236208).

Almost surely, 2^580382400 is an apocalyptic number.

580382400 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 580382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047682944).

580382400 is an abundant number, since it is smaller than the sum of its proper divisors (1514983488).

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

580382400 is a wasteful number, since it uses less digits than its factorization.

580382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 580382400 is about 24091.1269972992. The cubic root of 580382400 is about 834.1383296822.

The spelling of 580382400 in words is "five hundred eighty million, three hundred eighty-two thousand, four hundred".