564975000 has 336 divisors, whose sum is σ = 2049243840. Its totient is φ = 145800000.

The previous prime is 564974999. The next prime is 564975023. The reversal of 564975000 is 579465.

564975000 is a `hidden beast` number, since 5 + 64 + 97 + 500 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18224985 + ... + 18225015.

It is an arithmetic number, because the mean of its divisors is an integer number (6098940).

Almost surely, 2^564975000 is an apocalyptic number.

564975000 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 564975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024621920).

564975000 is an abundant number, since it is smaller than the sum of its proper divisors (1484268840).

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

564975000 is an frugal number, since it uses more digits than its factorization.

564975000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 564975000 is about 23769.2027632397. The cubic root of 564975000 is about 826.6907475064.

The spelling of 564975000 in words is "five hundred sixty-four million, nine hundred seventy-five thousand".