561859200 has 384 divisors, whose sum is σ = 2352528000. Its totient is φ = 128286720.

The previous prime is 561859189. The next prime is 561859213. The reversal of 561859200 is 2958165.

It is a happy number.

561859200 is a `hidden beast` number, since 5 + 61 + 8 + 592 + 0 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604336 + ... + 605264.

It is an arithmetic number, because the mean of its divisors is an integer number (6126375).

Almost surely, 2^561859200 is an apocalyptic number.

561859200 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 561859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176264000).

561859200 is an abundant number, since it is smaller than the sum of its proper divisors (1790668800).

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

561859200 is a wasteful number, since it uses less digits than its factorization.

561859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 561859200 is about 23703.5693514711. The cubic root of 561859200 is about 825.1682301558.

The spelling of 561859200 in words is "five hundred sixty-one million, eight hundred fifty-nine thousand, two hundred".