564849792 has 96 divisors (see below), whose sum is σ = 1750492380. Its totient is φ = 173795328.

The previous prime is 564849787. The next prime is 564849793. The reversal of 564849792 is 297948465.

564849792 is a `hidden beast` number, since 5 + 64 + 8 + 497 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 552062016 + 12787776 = 23496^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (564849793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3883 + ... + 33834.

Almost surely, 2^564849792 is an apocalyptic number.

564849792 is a gapful number since it is divisible by the number (52) 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 564849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875246190).

564849792 is an abundant number, since it is smaller than the sum of its proper divisors (1185642588).

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

564849792 is a wasteful number, since it uses less digits than its factorization.

564849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37750 (or 37735 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 564849792 is about 23766.5687889523. The cubic root of 564849792 is about 826.6296734515.

The spelling of 564849792 in words is "five hundred sixty-four million, eight hundred forty-nine thousand, seven hundred ninety-two".