4572400 has 120 divisors (see below), whose sum is σ = 13284864. Its totient is φ = 1478400.

The previous prime is 4572391. The next prime is 4572427. The reversal of 4572400 is 42754.

It is a congruent number.

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, 64365 + ... + 64435.

Almost surely, 2^4572400 is an apocalyptic number.

4572400 is a gapful number since it is divisible by the number (40) 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 4572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642432).

4572400 is an abundant number, since it is smaller than the sum of its proper divisors (8712464).

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

4572400 is a wasteful number, since it uses less digits than its factorization.

4572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 4572400 is about 2138.3170952878. The cubic root of 4572400 is about 165.9770617165.

The spelling of 4572400 in words is "four million, five hundred seventy-two thousand, four hundred".