564926400 has 252 divisors, whose sum is σ = 2083680872. Its totient is φ = 150543360.

The previous prime is 564926377. The next prime is 564926407. The reversal of 564926400 is 4629465.

564926400 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564926407) 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, 388074 + ... + 389526.

Almost surely, 2^564926400 is an apocalyptic number.

564926400 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 564926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041840436).

564926400 is an abundant number, since it is smaller than the sum of its proper divisors (1518754472).

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

564926400 is a wasteful number, since it uses less digits than its factorization.

564926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 564926400 is about 23768.1804099515. The cubic root of 564926400 is about 826.6670424325.

The spelling of 564926400 in words is "five hundred sixty-four million, nine hundred twenty-six thousand, four hundred".