564221700 has 432 divisors, whose sum is σ = 2183860224. Its totient is φ = 123638400.

The previous prime is 564221657. The next prime is 564221771. The reversal of 564221700 is 7122465.

564221700 is a `hidden beast` number, since 5 + 642 + 2 + 17 + 0 + 0 = 666.

It is a super-2 number, since 2×564221700² = 636692253501780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5273047 + ... + 5273153.

It is an arithmetic number, because the mean of its divisors is an integer number (5055232).

Almost surely, 2^564221700 is an apocalyptic number.

564221700 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 564221700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091930112).

564221700 is an abundant number, since it is smaller than the sum of its proper divisors (1619638524).

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

564221700 is a wasteful number, since it uses less digits than its factorization.

564221700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 564221700 is about 23753.3513424948. The cubic root of 564221700 is about 826.3231659784.

The spelling of 564221700 in words is "five hundred sixty-four million, two hundred twenty-one thousand, seven hundred".