564295536 has 240 divisors, whose sum is σ = 1892926464. Its totient is φ = 153570816.

The previous prime is 564295517. The next prime is 564295549. The reversal of 564295536 is 635592465.

564295536 is a `hidden beast` number, since 56 + 42 + 9 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 564295491 and 564295500.

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, 2037030 + ... + 2037306.

Almost surely, 2^564295536 is an apocalyptic number.

564295536 is a gapful number since it is divisible by the number (56) 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 564295536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946463232).

564295536 is an abundant number, since it is smaller than the sum of its proper divisors (1328630928).

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

564295536 is a wasteful number, since it uses less digits than its factorization.

564295536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 564295536 is about 23754.9055144406. The cubic root of 564295536 is about 826.3592095738.

The spelling of 564295536 in words is "five hundred sixty-four million, two hundred ninety-five thousand, five hundred thirty-six".