564518400 has 240 divisors, whose sum is σ = 1903287408. Its totient is φ = 147456000.

The previous prime is 564518399. The next prime is 564518407. The reversal of 564518400 is 4815465.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564518407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2342280 + ... + 2342520.

Almost surely, 2^564518400 is an apocalyptic number.

564518400 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 564518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951643704).

564518400 is an abundant number, since it is smaller than the sum of its proper divisors (1338769008).

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

564518400 is a wasteful number, since it uses less digits than its factorization.

564518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 564518400 is about 23759.5959561605. The cubic root of 564518400 is about 826.4679832379.

Adding to 564518400 its product of nonzero digits (19200), we get a square (564537600 = 23760²).

The spelling of 564518400 in words is "five hundred sixty-four million, five hundred eighteen thousand, four hundred".