564974820 has 144 divisors (see below), whose sum is σ = 1764322560. Its totient is φ = 146285568.

The previous prime is 564974791. The next prime is 564974833. The reversal of 564974820 is 28479465.

It is a happy number.

564974820 is a `hidden beast` number, since 564 + 9 + 7 + 4 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 952444 + ... + 953036.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240).

Almost surely, 2^564974820 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 564974820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882161280).

564974820 is an abundant number, since it is smaller than the sum of its proper divisors (1199347740).

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

564974820 is a wasteful number, since it uses less digits than its factorization.

564974820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 564974820 is about 23769.1989768271. The cubic root of 564974820 is about 826.6906597123.

The spelling of 564974820 in words is "five hundred sixty-four million, nine hundred seventy-four thousand, eight hundred twenty".