561484800 has 198 divisors, whose sum is σ = 2011206158. Its totient is φ = 149667840.

The previous prime is 561484793. The next prime is 561484853. The reversal of 561484800 is 8484165.

It can be written as a sum of positive squares in 3 ways, for example, as 139428864 + 422055936 = 11808^2 + 20544^2 .

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 229182 + ... + 231618.

Almost surely, 2^561484800 is an apocalyptic number.

561484800 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 561484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005603079).

561484800 is an abundant number, since it is smaller than the sum of its proper divisors (1449721358).

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

561484800 is a wasteful number, since it uses less digits than its factorization.

561484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 561484800 is about 23695.6704906192. The cubic root of 561484800 is about 824.9849033050.

The spelling of 561484800 in words is "five hundred sixty-one million, four hundred eighty-four thousand, eight hundred".