575436900 has 72 divisors (see below), whose sum is σ = 1696391424. Its totient is φ = 150550400.

The previous prime is 575436863. The next prime is 575436919. The reversal of 575436900 is 9634575.

It is a super-2 number, since 2×575436900² = 662255251763220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2196 + ... + 33995.

It is an arithmetic number, because the mean of its divisors is an integer number (23560992).

Almost surely, 2^575436900 is an apocalyptic number.

575436900 is a gapful number since it is divisible by the number (50) 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 575436900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848195712).

575436900 is an abundant number, since it is smaller than the sum of its proper divisors (1120954524).

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

575436900 is a wasteful number, since it uses less digits than its factorization.

575436900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36261 (or 36254 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 575436900 is about 23988.2658814680. The cubic root of 575436900 is about 831.7623076708.

The spelling of 575436900 in words is "five hundred seventy-five million, four hundred thirty-six thousand, nine hundred".