580412800 has 144 divisors (see below), whose sum is σ = 1577047500. Its totient is φ = 210918400.

The previous prime is 580412737. The next prime is 580412801. The reversal of 580412800 is 8214085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580412801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 386451 + ... + 387949.

Almost surely, 2^580412800 is an apocalyptic number.

580412800 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 580412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788523750).

580412800 is an abundant number, since it is smaller than the sum of its proper divisors (996634700).

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

580412800 is a wasteful number, since it uses less digits than its factorization.

580412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 580412800 is about 24091.7579267267. The cubic root of 580412800 is about 834.1528932771.

Adding to 580412800 its reverse (8214085), we get a palindrome (588626885).

The spelling of 580412800 in words is "five hundred eighty million, four hundred twelve thousand, eight hundred".