564359040 has 192 divisors, whose sum is σ = 2227361760. Its totient is φ = 128987136.

The previous prime is 564359011. The next prime is 564359051. The reversal of 564359040 is 40953465.

It is a happy number.

564359040 is a `hidden beast` number, since 5 + 64 + 3 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×564359040² = 637002252059443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 564358986 and 564359004.

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, 33322 + ... + 47318.

Almost surely, 2^564359040 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 564359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113680880).

564359040 is an abundant number, since it is smaller than the sum of its proper divisors (1663002720).

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

564359040 is a wasteful number, since it uses less digits than its factorization.

564359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14014 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 564359040 is about 23756.2421270705. The cubic root of 564359040 is about 826.3902070113.

The spelling of 564359040 in words is "five hundred sixty-four million, three hundred fifty-nine thousand, forty".