580770432 has 128 divisors (see below), whose sum is σ = 1870027200. Its totient is φ = 175979520.

The previous prime is 580770431. The next prime is 580770451. The reversal of 580770432 is 234077085.

580770432 is a `hidden beast` number, since 580 + 7 + 70 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (580770431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30378 + ... + 45654.

Almost surely, 2^580770432 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 580770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935013600).

580770432 is an abundant number, since it is smaller than the sum of its proper divisors (1289256768).

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

580770432 is a wasteful number, since it uses less digits than its factorization.

580770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15311 (or 15293 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 580770432 is about 24099.1790731552. The cubic root of 580770432 is about 834.3241843058.

The spelling of 580770432 in words is "five hundred eighty million, seven hundred seventy thousand, four hundred thirty-two".