564432000 has 256 divisors, whose sum is σ = 2043100800. Its totient is φ = 136704000.

The previous prime is 564431981. The next prime is 564432013. The reversal of 564432000 is 234465.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527466 + ... + 528534.

Almost surely, 2^564432000 is an apocalyptic number.

564432000 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 564432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021550400).

564432000 is an abundant number, since it is smaller than the sum of its proper divisors (1478668800).

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

564432000 is a wasteful number, since it uses less digits than its factorization.

564432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 564432000 is about 23757.7776738482. Note that the first 3 decimals coincide. The cubic root of 564432000 is about 826.4258172211.

Adding to 564432000 its reverse (234465), we get a palindrome (564666465).

The spelling of 564432000 in words is "five hundred sixty-four million, four hundred thirty-two thousand".