564026400 has 648 divisors, whose sum is σ = 2476341504. Its totient is φ = 118195200.

The previous prime is 564026389. The next prime is 564026443. The reversal of 564026400 is 4620465.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18194385 + ... + 18194415.

Almost surely, 2^564026400 is an apocalyptic number.

564026400 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 564026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

564026400 is an abundant number, since it is smaller than the sum of its proper divisors (1912315104).

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

564026400 is a wasteful number, since it uses less digits than its factorization.

564026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 564026400 is about 23749.2399878396. The cubic root of 564026400 is about 826.2278136621.

Adding to 564026400 its reverse (4620465), we get a palindrome (568646865).

The spelling of 564026400 in words is "five hundred sixty-four million, twenty-six thousand, four hundred".