564911424 has 336 divisors, whose sum is σ = 2069323776. Its totient is φ = 143078400.

The previous prime is 564911381. The next prime is 564911447. The reversal of 564911424 is 424119465.

564911424 is a `hidden beast` number, since 5 + 649 + 1 + 1 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2084409 + ... + 2084679.

Almost surely, 2^564911424 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 564911424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034661888).

564911424 is an abundant number, since it is smaller than the sum of its proper divisors (1504412352).

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

564911424 is a wasteful number, since it uses less digits than its factorization.

564911424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 564911424 is about 23767.8653648156. The cubic root of 564911424 is about 826.6597374838.

The spelling of 564911424 in words is "five hundred sixty-four million, nine hundred eleven thousand, four hundred twenty-four".