564400816 has 180 divisors, whose sum is σ = 1406079648. Its totient is φ = 218609664.

The previous prime is 564400807. The next prime is 564400817. The reversal of 564400816 is 618004465.

It is a super-2 number, since 2×564400816² = 637096562202931712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (564400817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10649046 + ... + 10649098.

Almost surely, 2^564400816 is an apocalyptic number.

564400816 is a gapful number since it is divisible by the number (56) 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 564400816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703039824).

564400816 is an abundant number, since it is smaller than the sum of its proper divisors (841678832).

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

564400816 is a wasteful number, since it uses less digits than its factorization.

564400816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 564400816 is about 23757.1213744427. The cubic root of 564400816 is about 826.4105973557.

The spelling of 564400816 in words is "five hundred sixty-four million, four hundred thousand, eight hundred sixteen".