575852800 has 54 divisors (see below), whose sum is σ = 1425341498. Its totient is φ = 230338560.

The previous prime is 575852759. The next prime is 575852833. The reversal of 575852800 is 8258575.

It can be written as a sum of positive squares in 3 ways, for example, as 164249856 + 411602944 = 12816^2 + 20288^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38589 + ... + 51388.

Almost surely, 2^575852800 is an apocalyptic number.

575852800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

575852800 is an abundant number, since it is smaller than the sum of its proper divisors (849488698).

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

575852800 is an equidigital number, since it uses as much as digits as its factorization.

575852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90003 (or 89984 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The square root of 575852800 is about 23996.9331373824. The cubic root of 575852800 is about 831.9626462520.

The spelling of 575852800 in words is "five hundred seventy-five million, eight hundred fifty-two thousand, eight hundred".