580906404 has 135 divisors (see below), whose sum is σ = 1660525713. Its totient is φ = 177005088.

The previous prime is 580906387. The next prime is 580906411. The reversal of 580906404 is 404609085.

The square root of 580906404 is 24102.

It is a perfect power (a square), and thus also a powerful number.

580906404 is a `hidden beast` number, since 5 + 8 + 0 + 9 + 0 + 640 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85932900 + 494973504 = 9270^2 + 22248^2 .

It is a super-2 number, since 2×580906404² = 674904500416422432, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5639817 + ... + 5639919.

Almost surely, 2^580906404 is an apocalyptic number.

580906404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

580906404 is the 24102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580906404

580906404 is an abundant number, since it is smaller than the sum of its proper divisors (1079619309).

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

580906404 is a wasteful number, since it uses less digits than its factorization.

580906404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 580906404 is about 834.3892908548.

Multiplying 580906404 by its sum of digits (36), we get a square (20912630544 = 144612²).

580906404 divided by its sum of digits (36) gives a square (16136289 = 4017²).

The spelling of 580906404 in words is "five hundred eighty million, nine hundred six thousand, four hundred four".