564731900 has 72 divisors (see below), whose sum is σ = 1275116304. Its totient is φ = 216921600.

The previous prime is 564731887. The next prime is 564731911. The reversal of 564731900 is 9137465.

It is a super-2 number, since 2×564731900² = 637844237755220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261224 + ... + 263376.

Almost surely, 2^564731900 is an apocalyptic number.

564731900 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 564731900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637558152).

564731900 is an abundant number, since it is smaller than the sum of its proper divisors (710384404).

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

564731900 is a wasteful number, since it uses less digits than its factorization.

564731900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 564731900 is about 23764.0884529578. The cubic root of 564731900 is about 826.5721597505.

The spelling of 564731900 in words is "five hundred sixty-four million, seven hundred thirty-one thousand, nine hundred".