560268900 has 135 divisors (see below), whose sum is σ = 1823102281. Its totient is φ = 148836960.

The previous prime is 560268889. The next prime is 560268901. The reversal of 560268900 is 9862065.

The square root of 560268900 is 23670.

It is a perfect power (a square), and thus also a powerful number.

560268900 is a `hidden beast` number, since 560 + 2 + 6 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 201696804 + 358572096 = 14202^2 + 18936^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (560268901) 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 44 ways as a sum of consecutive naturals, for example, 2130169 + ... + 2130431.

Almost surely, 2^560268900 is an apocalyptic number.

560268900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

560268900 is the 23670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560268900

560268900 is an abundant number, since it is smaller than the sum of its proper divisors (1262833381).

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

560268900 is a wasteful number, since it uses less digits than its factorization.

560268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 560268900 is about 824.3889690432.

Multiplying 560268900 by its sum of digits (36), we get a square (20169680400 = 142020²).

560268900 divided by its sum of digits (36) gives a square (15563025 = 3945²).

The spelling of 560268900 in words is "five hundred sixty million, two hundred sixty-eight thousand, nine hundred".