564373800 has 144 divisors (see below), whose sum is σ = 1904682780. Its totient is φ = 149760000.

The previous prime is 564373781. The next prime is 564373801. The reversal of 564373800 is 8373465.

It is a happy number.

564373800 is a `hidden beast` number, since 5 + 643 + 7 + 3 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 86601636 + 477772164 = 9306^2 + 21858^2 .

It is a super-2 number, since 2×564373800² = 637035572252880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (564373801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 433150 + ... + 434450.

Almost surely, 2^564373800 is an apocalyptic number.

564373800 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 564373800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952341390).

564373800 is an abundant number, since it is smaller than the sum of its proper divisors (1340308980).

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

564373800 is a wasteful number, since it uses less digits than its factorization.

564373800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 564373800 is about 23756.5527802331. The cubic root of 564373800 is about 826.3974112981.

The spelling of 564373800 in words is "five hundred sixty-four million, three hundred seventy-three thousand, eight hundred".