577472 has 28 divisors (see below), whose sum is σ = 1310640. Its totient is φ = 247296.

The previous prime is 577471. The next prime is 577483. The reversal of 577472 is 274775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 577472.

It is not an unprimeable number, because it can be changed into a prime (577471) 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, 197 + ... + 1092.

2⁵⁷⁷⁴⁷² is an apocalyptic number.

It is an amenable number.

577472 is an abundant number, since it is smaller than the sum of its proper divisors (733168).

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

577472 is a wasteful number, since it uses less digits than its factorization.

577472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its digits is 13720, while the sum is 32.

The square root of 577472 is about 759.9157848078. The cubic root of 577472 is about 83.2741695613.

It can be divided in two parts, 5 and 77472, that added together give a palindrome (77477).

The spelling of 577472 in words is "five hundred seventy-seven thousand, four hundred seventy-two".