561472800 has 288 divisors, whose sum is σ = 2199859200. Its totient is φ = 121512960.

The previous prime is 561472759. The next prime is 561472811. The reversal of 561472800 is 8274165.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318321 + ... + 320079.

It is an arithmetic number, because the mean of its divisors is an integer number (7638400).

Almost surely, 2^561472800 is an apocalyptic number.

561472800 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 561472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

561472800 is an abundant number, since it is smaller than the sum of its proper divisors (1638386400).

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

561472800 is a wasteful number, since it uses less digits than its factorization.

561472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 561472800 is about 23695.4172784528. The cubic root of 561472800 is about 824.9790260967.

The spelling of 561472800 in words is "five hundred sixty-one million, four hundred seventy-two thousand, eight hundred".