561144600 has 72 divisors (see below), whose sum is σ = 1884516660. Its totient is φ = 149638080.

The previous prime is 561144599. The next prime is 561144607. The reversal of 561144600 is 6441165.

561144600 is a `hidden beast` number, since 5 + 6 + 11 + 44 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561144607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 154074 + ... + 157673.

Almost surely, 2^561144600 is an apocalyptic number.

561144600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561144600 is an abundant number, since it is smaller than the sum of its proper divisors (1323372060).

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

561144600 is a wasteful number, since it uses less digits than its factorization.

561144600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311769 (or 311757 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 561144600 is about 23688.4908763729. The cubic root of 561144600 is about 824.8182519748.

Adding to 561144600 its reverse (6441165), we get a palindrome (567585765).

It can be divided in two parts, 561 and 144600, that added together give a square (145161 = 381²).

The spelling of 561144600 in words is "five hundred sixty-one million, one hundred forty-four thousand, six hundred".