574468400 has 120 divisors (see below), whose sum is σ = 1518210864. Its totient is φ = 207155200.

The previous prime is 574468397. The next prime is 574468421. The reversal of 574468400 is 4864475.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602324 + ... + 603276.

Almost surely, 2^574468400 is an apocalyptic number.

574468400 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 574468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759105432).

574468400 is an abundant number, since it is smaller than the sum of its proper divisors (943742464).

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

574468400 is a wasteful number, since it uses less digits than its factorization.

574468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 574468400 is about 23968.0704271328. The cubic root of 574468400 is about 831.2954078498.

The spelling of 574468400 in words is "five hundred seventy-four million, four hundred sixty-eight thousand, four hundred".