564399144 has 96 divisors (see below), whose sum is σ = 1620576000. Its totient is φ = 181997280.

The previous prime is 564399127. The next prime is 564399149. The reversal of 564399144 is 441993465.

It is a self number, because there is not a number n which added to its sum of digits gives 564399144.

It is not an unprimeable number, because it can be changed into a prime (564399149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206217 + ... + 208935.

It is an arithmetic number, because the mean of its divisors is an integer number (16881000).

Almost surely, 2^564399144 is an apocalyptic number.

564399144 is a gapful number since it is divisible by the number (54) 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 564399144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810288000).

564399144 is an abundant number, since it is smaller than the sum of its proper divisors (1056176856).

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

564399144 is a wasteful number, since it uses less digits than its factorization.

564399144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2755 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 564399144 is about 23757.0861849681. The cubic root of 564399144 is about 826.4097812927.

The spelling of 564399144 in words is "five hundred sixty-four million, three hundred ninety-nine thousand, one hundred forty-four".