564332100 has 72 divisors (see below), whose sum is σ = 1638936768. Its totient is φ = 149923200.

The previous prime is 564332063. The next prime is 564332101. The reversal of 564332100 is 1233465.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (564332101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79705 + ... + 86495.

Almost surely, 2^564332100 is an apocalyptic number.

564332100 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 564332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819468384).

564332100 is an abundant number, since it is smaller than the sum of its proper divisors (1074604668).

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

564332100 is a wasteful number, since it uses less digits than its factorization.

564332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7085 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 564332100 is about 23755.6751114339. The cubic root of 564332100 is about 826.3770573998.

Adding to 564332100 its reverse (1233465), we get a palindrome (565565565).

The spelling of 564332100 in words is "five hundred sixty-four million, three hundred thirty-two thousand, one hundred".