561880400 has 60 divisors (see below), whose sum is σ = 1382882844. Its totient is φ = 219264000.

The previous prime is 561880393. The next prime is 561880411. The reversal of 561880400 is 4088165.

561880400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2274064 + 559606336 = 1508^2 + 23656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731 + ... + 33530.

Almost surely, 2^561880400 is an apocalyptic number.

561880400 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 561880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691441422).

561880400 is an abundant number, since it is smaller than the sum of its proper divisors (821002444).

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

561880400 is a wasteful number, since it uses less digits than its factorization.

561880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34320 (or 34309 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 561880400 is about 23704.0165372875. The cubic root of 561880400 is about 825.1786084062.

The spelling of 561880400 in words is "five hundred sixty-one million, eight hundred eighty thousand, four hundred".