564120256 has 56 divisors (see below), whose sum is σ = 1282171680. Its totient is φ = 241231872.

The previous prime is 564120247. The next prime is 564120257. The reversal of 564120256 is 652021465.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564120257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253806 + ... + 256018.

Almost surely, 2^564120256 is an apocalyptic number.

564120256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641085840).

564120256 is an abundant number, since it is smaller than the sum of its proper divisors (718051424).

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

564120256 is a wasteful number, since it uses less digits than its factorization.

564120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 564120256 is about 23751.2158846658. The cubic root of 564120256 is about 826.2736402030.

The spelling of 564120256 in words is "five hundred sixty-four million, one hundred twenty thousand, two hundred fifty-six".