564464600 has 192 divisors, whose sum is σ = 1633556160. Its totient is φ = 176947200.

The previous prime is 564464587. The next prime is 564464603. The reversal of 564464600 is 6464465.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564464603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880280 + ... + 880920.

It is an arithmetic number, because the mean of its divisors is an integer number (8508105).

Almost surely, 2^564464600 is an apocalyptic number.

564464600 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 564464600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816778080).

564464600 is an abundant number, since it is smaller than the sum of its proper divisors (1069091560).

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

564464600 is a wasteful number, since it uses less digits than its factorization.

564464600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 564464600 is about 23758.4637550495. The cubic root of 564464600 is about 826.4417275894.

The spelling of 564464600 in words is "five hundred sixty-four million, four hundred sixty-four thousand, six hundred".