564296448 has 72 divisors (see below), whose sum is σ = 1538567856. Its totient is φ = 183500800.

The previous prime is 564296431. The next prime is 564296461. The reversal of 564296448 is 844692465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 564296397 and 564296406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22528 + ... + 40448.

It is an arithmetic number, because the mean of its divisors is an integer number (21368998).

Almost surely, 2^564296448 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 564296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769283928).

564296448 is an abundant number, since it is smaller than the sum of its proper divisors (974271408).

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

564296448 is a wasteful number, since it uses less digits than its factorization.

564296448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17981 (or 17967 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 564296448 is about 23754.9247104679. The cubic root of 564296448 is about 826.3596547538.

The spelling of 564296448 in words is "five hundred sixty-four million, two hundred ninety-six thousand, four hundred forty-eight".