564213888 has 384 divisors, whose sum is σ = 1999395840. Its totient is φ = 149299200.

The previous prime is 564213877. The next prime is 564213899. The reversal of 564213888 is 888312465.

564213888 is a `hidden beast` number, since 564 + 2 + 1 + 3 + 8 + 88 = 666.

564213888 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (564213877) and next prime (564213899).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×564213888² = 636674622824153088, which contains 22 as substring.

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, 9249378 + ... + 9249438.

It is an arithmetic number, because the mean of its divisors is an integer number (5206760).

Almost surely, 2^564213888 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 564213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999697920).

564213888 is an abundant number, since it is smaller than the sum of its proper divisors (1435181952).

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

564213888 is a wasteful number, since it uses less digits than its factorization.

564213888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 564213888 is about 23753.1869019717. The cubic root of 564213888 is about 826.3193523082.

The spelling of 564213888 in words is "five hundred sixty-four million, two hundred thirteen thousand, eight hundred eighty-eight".