561851400 has 288 divisors, whose sum is σ = 1959249600. Its totient is φ = 133056000.

The previous prime is 561851369. The next prime is 561851443. The reversal of 561851400 is 4158165.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5154546 + ... + 5154654.

It is an arithmetic number, because the mean of its divisors is an integer number (6802950).

Almost surely, 2^561851400 is an apocalyptic number.

561851400 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 561851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979624800).

561851400 is an abundant number, since it is smaller than the sum of its proper divisors (1397398200).

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

561851400 is a wasteful number, since it uses less digits than its factorization.

561851400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 561851400 is about 23703.4048187175. The cubic root of 561851400 is about 825.1644116772.

The spelling of 561851400 in words is "five hundred sixty-one million, eight hundred fifty-one thousand, four hundred".