576960400 has 45 divisors (see below), whose sum is σ = 1387302483. Its totient is φ = 230592000.

The previous prime is 576960367. The next prime is 576960409. The reversal of 576960400 is 4069675.

The square root of 576960400 is 24020.

It is a perfect power (a square), and thus also a powerful number.

576960400 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 346406544 + 230553856 = 18612^2 + 15184^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 576960400.

It is not an unprimeable number, because it can be changed into a prime (576960409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 479800 + ... + 481000.

Almost surely, 2^576960400 is an apocalyptic number.

576960400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

576960400 is the 24020-th square number.

It is an amenable number.

576960400 is an abundant number, since it is smaller than the sum of its proper divisors (810342083).

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

576960400 is an equidigital number, since it uses as much as digits as its factorization.

576960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 576960400 is about 832.4957058940.

It can be divided in two parts, 576 and 960400, that multiplied together give a square (553190400 = 23520²).

The spelling of 576960400 in words is "five hundred seventy-six million, nine hundred sixty thousand, four hundred".