564094440 has 384 divisors, whose sum is σ = 2298965760. Its totient is φ = 116785152.

The previous prime is 564094429. The next prime is 564094451. The reversal of 564094440 is 44490465.

564094440 is a `hidden beast` number, since 5 + 640 + 9 + 4 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564094429) and next prime (564094451).

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

It is a junction number, because it is equal to n+sod(n) for n = 564094395 and 564094404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2194792 + ... + 2195048.

It is an arithmetic number, because the mean of its divisors is an integer number (5986890).

Almost surely, 2^564094440 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 564094440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149482880).

564094440 is an abundant number, since it is smaller than the sum of its proper divisors (1734871320).

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

564094440 is a wasteful number, since it uses less digits than its factorization.

564094440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564094440 is about 23750.6724115340. The cubic root of 564094440 is about 826.2610356768.

The spelling of 564094440 in words is "five hundred sixty-four million, ninety-four thousand, four hundred forty".