577407012 has 96 divisors (see below), whose sum is σ = 1666156800. Its totient is φ = 151552512.

The previous prime is 577407007. The next prime is 577407041. The reversal of 577407012 is 210704775.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248914 + ... + 251222.

It is an arithmetic number, because the mean of its divisors is an integer number (17355800).

Almost surely, 2^577407012 is an apocalyptic number.

577407012 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577407012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833078400).

577407012 is an abundant number, since it is smaller than the sum of its proper divisors (1088749788).

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

577407012 is a wasteful number, since it uses less digits than its factorization.

577407012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 577407012 is about 24029.2948710527. The cubic root of 577407012 is about 832.7104558599.

The spelling of 577407012 in words is "five hundred seventy-seven million, four hundred seven thousand, twelve".