564190424 has 96 divisors (see below), whose sum is σ = 1305020160. Its totient is φ = 223910400.

The previous prime is 564190411. The next prime is 564190457. The reversal of 564190424 is 424091465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148819 + ... + 1149309.

It is an arithmetic number, because the mean of its divisors is an integer number (13593960).

Almost surely, 2^564190424 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 564190424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652510080).

564190424 is an abundant number, since it is smaller than the sum of its proper divisors (740829736).

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

564190424 is a wasteful number, since it uses less digits than its factorization.

564190424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 564190424 is about 23752.6929841650. The cubic root of 564190424 is about 826.3078974171.

The spelling of 564190424 in words is "five hundred sixty-four million, one hundred ninety thousand, four hundred twenty-four".