564011000 has 128 divisors (see below), whose sum is σ = 1519689600. Its totient is φ = 191923200.

The previous prime is 564010999. The next prime is 564011027. The reversal of 564011000 is 110465.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 564011000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378796 + ... + 1379204.

It is an arithmetic number, because the mean of its divisors is an integer number (11872575).

Almost surely, 2^564011000 is an apocalyptic number.

564011000 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 564011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759844800).

564011000 is an abundant number, since it is smaller than the sum of its proper divisors (955678600).

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

564011000 is a wasteful number, since it uses less digits than its factorization.

564011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 564011000 is about 23748.9157647249. The cubic root of 564011000 is about 826.2202939052.

Adding to 564011000 its reverse (110465), we get a palindrome (564121465).

The spelling of 564011000 in words is "five hundred sixty-four million, eleven thousand".