564166400 has 216 divisors, whose sum is σ = 1634791200. Its totient is φ = 192675840.

The previous prime is 564166391. The next prime is 564166409. The reversal of 564166400 is 4661465.

It is an interprime number because it is at equal distance from previous prime (564166391) and next prime (564166409).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564166409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2195072 + ... + 2195328.

Almost surely, 2^564166400 is an apocalyptic number.

564166400 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 564166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817395600).

564166400 is an abundant number, since it is smaller than the sum of its proper divisors (1070624800).

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

564166400 is an equidigital number, since it uses as much as digits as its factorization.

564166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 564166400 is about 23752.1872677023. The cubic root of 564166400 is about 826.2961688104.

The spelling of 564166400 in words is "five hundred sixty-four million, one hundred sixty-six thousand, four hundred".