561631400 has 96 divisors (see below), whose sum is σ = 1473789600. Its totient is φ = 197164800.

The previous prime is 561631373. The next prime is 561631403. The reversal of 561631400 is 4136165.

It is a self number, because there is not a number n which added to its sum of digits gives 561631400.

It is not an unprimeable number, because it can be changed into a prime (561631403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59399 + ... + 68201.

It is an arithmetic number, because the mean of its divisors is an integer number (15351975).

Almost surely, 2^561631400 is an apocalyptic number.

561631400 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 561631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736894800).

561631400 is an abundant number, since it is smaller than the sum of its proper divisors (912158200).

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

561631400 is a wasteful number, since it uses less digits than its factorization.

561631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 561631400 is about 23698.7636808336. The cubic root of 561631400 is about 825.0566964403.

Adding to 561631400 its reverse (4136165), we get a palindrome (565767565).

The spelling of 561631400 in words is "five hundred sixty-one million, six hundred thirty-one thousand, four hundred".