564559840 has 96 divisors (see below), whose sum is σ = 1498948416. Its totient is φ = 199372800.

The previous prime is 564559823. The next prime is 564559859. The reversal of 564559840 is 48955465.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41940 + ... + 53740.

It is an arithmetic number, because the mean of its divisors is an integer number (15614046).

Almost surely, 2^564559840 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 564559840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749474208).

564559840 is an abundant number, since it is smaller than the sum of its proper divisors (934388576).

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

564559840 is a wasteful number, since it uses less digits than its factorization.

564559840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 564559840 is about 23760.4680088587. The cubic root of 564559840 is about 826.4882057823.

The spelling of 564559840 in words is "five hundred sixty-four million, five hundred fifty-nine thousand, eight hundred forty".