561224400 has 480 divisors, whose sum is σ = 2162111616. Its totient is φ = 122880000.

The previous prime is 561224393. The next prime is 561224401. The reversal of 561224400 is 4422165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561224401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9200370 + ... + 9200430.

Almost surely, 2^561224400 is an apocalyptic number.

561224400 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 561224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081055808).

561224400 is an abundant number, since it is smaller than the sum of its proper divisors (1600887216).

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

561224400 is a wasteful number, since it uses less digits than its factorization.

561224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 561224400 is about 23690.1751787529. The cubic root of 561224400 is about 824.8573490730.

Adding to 561224400 its reverse (4422165), we get a palindrome (565646565).

It can be divided in two parts, 561 and 224400, that multiplied together give a square (125888400 = 11220²).

The spelling of 561224400 in words is "five hundred sixty-one million, two hundred twenty-four thousand, four hundred".