561126400 has 132 divisors (see below), whose sum is σ = 1452911472. Its totient is φ = 214466560.

The previous prime is 561126383. The next prime is 561126409. The reversal of 561126400 is 4621165.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561126409) 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, 588324 + ... + 589276.

Almost surely, 2^561126400 is an apocalyptic number.

561126400 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 561126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726455736).

561126400 is an abundant number, since it is smaller than the sum of its proper divisors (891785072).

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

561126400 is a wasteful number, since it uses less digits than its factorization.

561126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 561126400 is about 23688.1067204621. The cubic root of 561126400 is about 824.8093345736.

Adding to 561126400 its reverse (4621165), we get a palindrome (565747565).

The spelling of 561126400 in words is "five hundred sixty-one million, one hundred twenty-six thousand, four hundred".