564421440 has 336 divisors, whose sum is σ = 2033406144. Its totient is φ = 132464640.

The previous prime is 564421439. The next prime is 564421453. The reversal of 564421440 is 44124465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 564421398 and 564421407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4994824 + ... + 4994936.

It is an arithmetic number, because the mean of its divisors is an integer number (6051804).

Almost surely, 2^564421440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016703072).

564421440 is an abundant number, since it is smaller than the sum of its proper divisors (1468984704).

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

564421440 is a wasteful number, since it uses less digits than its factorization.

564421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 564421440 is about 23757.5554297996. Note that the first 3 decimals coincide. The cubic root of 564421440 is about 826.4206633017.

The spelling of 564421440 in words is "five hundred sixty-four million, four hundred twenty-one thousand, four hundred forty".