560995200 has 384 divisors, whose sum is σ = 2114745600. Its totient is φ = 145152000.

The previous prime is 560995199. The next prime is 560995207. The reversal of 560995200 is 2599065.

560995200 is a `hidden beast` number, since 560 + 9 + 95 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×560995200² = 629431228846080000, which contains 22 as substring.

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 (560995207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3715125 + ... + 3715275.

It is an arithmetic number, because the mean of its divisors is an integer number (5507150).

Almost surely, 2^560995200 is an apocalyptic number.

560995200 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 560995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057372800).

560995200 is an abundant number, since it is smaller than the sum of its proper divisors (1553750400).

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

560995200 is a wasteful number, since it uses less digits than its factorization.

560995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 560995200 is about 23685.3372363579. The cubic root of 560995200 is about 824.7450451848.

The spelling of 560995200 in words is "five hundred sixty million, nine hundred ninety-five thousand, two hundred".