580338432 has 216 divisors, whose sum is σ = 1830279360. Its totient is φ = 182891520.

The previous prime is 580338403. The next prime is 580338443. The reversal of 580338432 is 234833085.

580338432 is a `hidden beast` number, since 580 + 3 + 38 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181707 + ... + 1182197.

Almost surely, 2^580338432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915139680).

580338432 is an abundant number, since it is smaller than the sum of its proper divisors (1249940928).

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

580338432 is an equidigital number, since it uses as much as digits as its factorization.

580338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 580338432 is about 24090.2144448737. The cubic root of 580338432 is about 834.1172652253.

The spelling of 580338432 in words is "five hundred eighty million, three hundred thirty-eight thousand, four hundred thirty-two".