564193980 has 144 divisors (see below), whose sum is σ = 2058900480. Its totient is φ = 122166144.

The previous prime is 564193963. The next prime is 564194023. The reversal of 564193980 is 89391465.

It is a happy number.

564193980 is a `hidden beast` number, since 564 + 1 + 9 + 3 + 9 + 80 = 666.

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

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, 12157 + ... + 35723.

It is an arithmetic number, because the mean of its divisors is an integer number (14297920).

Almost surely, 2^564193980 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 564193980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029450240).

564193980 is an abundant number, since it is smaller than the sum of its proper divisors (1494706500).

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

564193980 is a wasteful number, since it uses less digits than its factorization.

564193980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23608 (or 23603 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 564193980 is about 23752.7678387172. The cubic root of 564193980 is about 826.3096334413.

The spelling of 564193980 in words is "five hundred sixty-four million, one hundred ninety-three thousand, nine hundred eighty".