564268500 has 144 divisors (see below), whose sum is σ = 1828728720. Its totient is φ = 146361600.

The previous prime is 564268487. The next prime is 564268543. The reversal of 564268500 is 5862465.

564268500 is a `hidden beast` number, since 5 + 642 + 6 + 8 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2862864 + 561405636 = 1692^2 + 23694^2 .

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, 164806 + ... + 168194.

It is an arithmetic number, because the mean of its divisors is an integer number (12699505).

Almost surely, 2^564268500 is an apocalyptic number.

564268500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564268500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914364360).

564268500 is an abundant number, since it is smaller than the sum of its proper divisors (1264460220).

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

564268500 is a wasteful number, since it uses less digits than its factorization.

564268500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 564268500 is about 23754.3364462155. The cubic root of 564268500 is about 826.3460121132.

The spelling of 564268500 in words is "five hundred sixty-four million, two hundred sixty-eight thousand, five hundred".