560272800 has 288 divisors, whose sum is σ = 1918002240. Its totient is φ = 141926400.

The previous prime is 560272799. The next prime is 560272807. The reversal of 560272800 is 8272065.

It is a super-2 number, since 2×560272800² = 627811220839680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (560272807) 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 47 ways as a sum of consecutive naturals, for example, 6295156 + ... + 6295244.

It is an arithmetic number, because the mean of its divisors is an integer number (6659730).

Almost surely, 2^560272800 is an apocalyptic number.

560272800 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 560272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959001120).

560272800 is an abundant number, since it is smaller than the sum of its proper divisors (1357729440).

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

560272800 is a wasteful number, since it uses less digits than its factorization.

560272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 560272800 is about 23670.0823826196. The cubic root of 560272800 is about 824.3908818803.

The spelling of 560272800 in words is "five hundred sixty million, two hundred seventy-two thousand, eight hundred".