564200800 has 144 divisors (see below), whose sum is σ = 1446938640. Its totient is φ = 214538240.

The previous prime is 564200761. The next prime is 564200849. The reversal of 564200800 is 8002465.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925454 + ... + 1925746.

It is an arithmetic number, because the mean of its divisors is an integer number (10048185).

Almost surely, 2^564200800 is an apocalyptic number.

564200800 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 564200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723469320).

564200800 is an abundant number, since it is smaller than the sum of its proper divisors (882737840).

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

564200800 is a wasteful number, since it uses less digits than its factorization.

564200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 564200800 is about 23752.9114004999. The cubic root of 564200800 is about 826.3129629161.

The spelling of 564200800 in words is "five hundred sixty-four million, two hundred thousand, eight hundred".