561571200 has 576 divisors, whose sum is σ = 2249320320. Its totient is φ = 132710400.

The previous prime is 561571187. The next prime is 561571229. The reversal of 561571200 is 2175165.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15177582 + ... + 15177618.

It is an arithmetic number, because the mean of its divisors is an integer number (3905070).

Almost surely, 2^561571200 is an apocalyptic number.

561571200 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 561571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124660160).

561571200 is an abundant number, since it is smaller than the sum of its proper divisors (1687749120).

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

561571200 is a wasteful number, since it uses less digits than its factorization.

561571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 561571200 is about 23697.4935383470. The cubic root of 561571200 is about 825.0272167330.

The spelling of 561571200 in words is "five hundred sixty-one million, five hundred seventy-one thousand, two hundred".