561378200 has 48 divisors (see below), whose sum is σ = 1318174560. Its totient is φ = 222320000.

The previous prime is 561378179. The next prime is 561378203. The reversal of 561378200 is 2873165.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561378203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6305 + ... + 34095.

It is an arithmetic number, because the mean of its divisors is an integer number (27461970).

Almost surely, 2^561378200 is an apocalyptic number.

561378200 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 561378200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659087280).

561378200 is an abundant number, since it is smaller than the sum of its proper divisors (756796360).

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

561378200 is a wasteful number, since it uses less digits than its factorization.

561378200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27908 (or 27899 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 561378200 is about 23693.4210277874. The cubic root of 561378200 is about 824.9326911723.

The spelling of 561378200 in words is "five hundred sixty-one million, three hundred seventy-eight thousand, two hundred".