564404500 has 144 divisors (see below), whose sum is σ = 1429122240. Its totient is φ = 194040000.

The previous prime is 564404497. The next prime is 564404501. The reversal of 564404500 is 5404465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564404501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149255 + ... + 1149745.

It is an arithmetic number, because the mean of its divisors is an integer number (9924460).

Almost surely, 2^564404500 is an apocalyptic number.

564404500 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 564404500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714561120).

564404500 is an abundant number, since it is smaller than the sum of its proper divisors (864717740).

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

564404500 is a wasteful number, since it uses less digits than its factorization.

564404500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 564404500 is about 23757.1989089623. The cubic root of 564404500 is about 826.4123954218.

Adding to 564404500 its reverse (5404465), we get a palindrome (569808965).

The spelling of 564404500 in words is "five hundred sixty-four million, four hundred four thousand, five hundred".