564396144 has 80 divisors (see below), whose sum is σ = 1624375200. Its totient is φ = 167666688.

The previous prime is 564396109. The next prime is 564396167. The reversal of 564396144 is 441693465.

It is a happy number.

It is a super-3 number, since 3×564396144³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 564396096 and 564396105.

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, 2502 + ... + 33690.

It is an arithmetic number, because the mean of its divisors is an integer number (20304690).

Almost surely, 2^564396144 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 564396144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812187600).

564396144 is an abundant number, since it is smaller than the sum of its proper divisors (1059979056).

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

564396144 is a wasteful number, since it uses less digits than its factorization.

564396144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31242 (or 31236 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 564396144 is about 23757.0230458279. The cubic root of 564396144 is about 826.4083170607.

The spelling of 564396144 in words is "five hundred sixty-four million, three hundred ninety-six thousand, one hundred forty-four".