577680432 has 120 divisors (see below), whose sum is σ = 1735888896. Its totient is φ = 162163584.

The previous prime is 577680413. The next prime is 577680437. The reversal of 577680432 is 234086775.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (577680437) 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 23 ways as a sum of consecutive naturals, for example, 1508113 + ... + 1508495.

Almost surely, 2^577680432 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 577680432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867944448).

577680432 is an abundant number, since it is smaller than the sum of its proper divisors (1158208464).

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

577680432 is a wasteful number, since it uses less digits than its factorization.

577680432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 577680432 is about 24034.9835032188. The cubic root of 577680432 is about 832.8418731328.

The spelling of 577680432 in words is "five hundred seventy-seven million, six hundred eighty thousand, four hundred thirty-two".