564280000 has 70 divisors (see below), whose sum is σ = 1399330196. Its totient is φ = 225696000.

The previous prime is 564279983. The next prime is 564280001. The reversal of 564280000 is 82465.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (564280001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 32947 + ... + 47053.

Almost surely, 2^564280000 is an apocalyptic number.

564280000 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 564280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699665098).

564280000 is an abundant number, since it is smaller than the sum of its proper divisors (835050196).

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

564280000 is an equidigital number, since it uses as much as digits as its factorization.

564280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 564280000 is about 23754.5785060480. The cubic root of 564280000 is about 826.3516258205.

The spelling of 564280000 in words is "five hundred sixty-four million, two hundred eighty thousand".