564254460 has 216 divisors, whose sum is σ = 2150654688. Its totient is φ = 117216000.

The previous prime is 564254441. The next prime is 564254491. The reversal of 564254460 is 64452465.

564254460 is a `hidden beast` number, since 5 + 642 + 5 + 4 + 4 + 6 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 150610 + ... + 154310.

Almost surely, 2^564254460 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 564254460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075327344).

564254460 is an abundant number, since it is smaller than the sum of its proper divisors (1586400228).

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

564254460 is a wasteful number, since it uses less digits than its factorization.

564254460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 564254460 is about 23754.0409193889. The cubic root of 564254460 is about 826.3391584054.

The spelling of 564254460 in words is "five hundred sixty-four million, two hundred fifty-four thousand, four hundred sixty".