564410000 has 200 divisors, whose sum is σ = 1706003904. Its totient is φ = 175680000.

The previous prime is 564409999. The next prime is 564410017. The reversal of 564410000 is 14465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 769634 + ... + 770366.

Almost surely, 2^564410000 is an apocalyptic number.

564410000 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 564410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853001952).

564410000 is an abundant number, since it is smaller than the sum of its proper divisors (1141593904).

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

564410000 is a wasteful number, since it uses less digits than its factorization.

564410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 564410000 is about 23757.3146630675. The cubic root of 564410000 is about 826.4150798166.

Adding to 564410000 its reverse (14465), we get a palindrome (564424465).

The spelling of 564410000 in words is "five hundred sixty-four million, four hundred ten thousand".