564939900 has 288 divisors, whose sum is σ = 2109864960. Its totient is φ = 127008000.

The previous prime is 564939899. The next prime is 564939917. The reversal of 564939900 is 9939465.

It is a happy number.

It is a super-2 number, since 2×564939900² = 638314181224020000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1341690 + ... + 1342110.

It is an arithmetic number, because the mean of its divisors is an integer number (7325920).

Almost surely, 2^564939900 is an apocalyptic number.

564939900 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 564939900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054932480).

564939900 is an abundant number, since it is smaller than the sum of its proper divisors (1544925060).

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

564939900 is a wasteful number, since it uses less digits than its factorization.

564939900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 564939900 is about 23768.4644013870. The cubic root of 564939900 is about 826.6736273116.

The spelling of 564939900 in words is "five hundred sixty-four million, nine hundred thirty-nine thousand, nine hundred".