572896800 has 432 divisors, whose sum is σ = 2399971392. Its totient is φ = 130636800.

The previous prime is 572896777. The next prime is 572896817. The reversal of 572896800 is 8698275.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360590 + ... + 1361010.

Almost surely, 2^572896800 is an apocalyptic number.

572896800 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 572896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199985696).

572896800 is an abundant number, since it is smaller than the sum of its proper divisors (1827074592).

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

572896800 is a wasteful number, since it uses less digits than its factorization.

572896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 572896800 is about 23935.2626891789. The cubic root of 572896800 is about 830.5366442917.

The spelling of 572896800 in words is "five hundred seventy-two million, eight hundred ninety-six thousand, eight hundred".