564930000 has 150 divisors (see below), whose sum is σ = 1975956554. Its totient is φ = 150624000.

The previous prime is 564929951. The next prime is 564930011. The reversal of 564930000 is 39465.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 69956496 + 494973504 = 8364^2 + 22248^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86862 + ... + 93138.

Almost surely, 2^564930000 is an apocalyptic number.

564930000 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 564930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987978277).

564930000 is an abundant number, since it is smaller than the sum of its proper divisors (1411026554).

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

564930000 is a wasteful number, since it uses less digits than its factorization.

564930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 564930000 is about 23768.2561413327. The cubic root of 564930000 is about 826.6687984105.

Adding to 564930000 its reverse (39465), we get a palindrome (564969465).

The spelling of 564930000 in words is "five hundred sixty-four million, nine hundred thirty thousand".