564544890 has 448 divisors, whose sum is σ = 2009581056. Its totient is φ = 110854656.

The previous prime is 564544859. The next prime is 564544901. The reversal of 564544890 is 98445465.

564544890 is a `hidden beast` number, since 564 + 5 + 4 + 4 + 89 + 0 = 666.

It is a super-2 number, since 2×564544890² = 637421865650224200, which contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 15257952 + ... + 15257988.

It is an arithmetic number, because the mean of its divisors is an integer number (4485672).

Almost surely, 2^564544890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564544890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004790528).

564544890 is an abundant number, since it is smaller than the sum of its proper divisors (1445036166).

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

564544890 is a wasteful number, since it uses less digits than its factorization.

564544890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 564544890 is about 23760.1534085957. The cubic root of 564544890 is about 826.4809103598.

The spelling of 564544890 in words is "five hundred sixty-four million, five hundred forty-four thousand, eight hundred ninety".