561902400 has 168 divisors, whose sum is σ = 2048499840. Its totient is φ = 149829120.

The previous prime is 561902399. The next prime is 561902413. The reversal of 561902400 is 4209165.

561902400 is a `hidden beast` number, since 5 + 619 + 0 + 2 + 40 + 0 = 666.

561902400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36697 + ... + 49703.

Almost surely, 2^561902400 is an apocalyptic number.

561902400 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 561902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024249920).

561902400 is an abundant number, since it is smaller than the sum of its proper divisors (1486597440).

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

561902400 is a wasteful number, since it uses less digits than its factorization.

561902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13038 (or 13017 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 561902400 is about 23704.4805891207. The cubic root of 561902400 is about 825.1893780127.

The spelling of 561902400 in words is "five hundred sixty-one million, nine hundred two thousand, four hundred".