564435630 has 96 divisors (see below), whose sum is σ = 1638299520. Its totient is φ = 133640640.

The previous prime is 564435601. The next prime is 564435653. The reversal of 564435630 is 36534465.

564435630 is a `hidden beast` number, since 5 + 644 + 3 + 5 + 6 + 3 + 0 = 666.

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, 35941 + ... + 49199.

It is an arithmetic number, because the mean of its divisors is an integer number (17065620).

Almost surely, 2^564435630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564435630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819149760).

564435630 is an abundant number, since it is smaller than the sum of its proper divisors (1073863890).

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

564435630 is a wasteful number, since it uses less digits than its factorization.

564435630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13326 (or 13323 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 564435630 is about 23757.8540697598. The cubic root of 564435630 is about 826.4275888661.

The spelling of 564435630 in words is "five hundred sixty-four million, four hundred thirty-five thousand, six hundred thirty".