580416 has 28 divisors (see below), whose sum is σ = 1536192. Its totient is φ = 193408.

The previous prime is 580409. The next prime is 580417. The reversal of 580416 is 614085.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

2⁵⁸⁰⁴¹⁶ is an apocalyptic number.

It is an amenable number.

580416 is an abundant number, since it is smaller than the sum of its proper divisors (955776).

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

580416 is a wasteful number, since it uses less digits than its factorization.

580416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 580416 is about 761.8503790115. The cubic root of 580416 is about 83.4154426258.

The spelling of 580416 in words is "five hundred eighty thousand, four hundred sixteen".