560364000 has 288 divisors, whose sum is σ = 2137707936. Its totient is φ = 127948800.

The previous prime is 560363977. The next prime is 560364031. The reversal of 560364000 is 463065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587524 + ... + 588476.

It is an arithmetic number, because the mean of its divisors is an integer number (7422597).

Almost surely, 2^560364000 is an apocalyptic number.

560364000 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 560364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068853968).

560364000 is an abundant number, since it is smaller than the sum of its proper divisors (1577343936).

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

560364000 is a wasteful number, since it uses less digits than its factorization.

560364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 560364000 is about 23672.0087867507. The cubic root of 560364000 is about 824.4356103110.

The spelling of 560364000 in words is "five hundred sixty million, three hundred sixty-four thousand".