564458400 has 216 divisors, whose sum is σ = 2171673504. Its totient is φ = 136819200.

The previous prime is 564458399. The next prime is 564458431. The reversal of 564458400 is 4854465.

564458400 is a `hidden beast` number, since 5 + 644 + 5 + 8 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×564458400² = 637226570661120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75637 + ... + 82763.

It is an arithmetic number, because the mean of its divisors is an integer number (10054044).

Almost surely, 2^564458400 is an apocalyptic number.

564458400 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 564458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085836752).

564458400 is an abundant number, since it is smaller than the sum of its proper divisors (1607215104).

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

564458400 is a wasteful number, since it uses less digits than its factorization.

564458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 564458400 is about 23758.3332748743. Note that the first 3 decimals coincide. The cubic root of 564458400 is about 826.4387017383.

The spelling of 564458400 in words is "five hundred sixty-four million, four hundred fifty-eight thousand, four hundred".