561624400 has 30 divisors (see below), whose sum is σ = 1349303582. Its totient is φ = 224649600.

The previous prime is 561624391. The next prime is 561624409. The reversal of 561624400 is 4426165.

It is an interprime number because it is at equal distance from previous prime (561624391) and next prime (561624409).

It can be written as a sum of positive squares in 3 ways, for example, as 2585664 + 559038736 = 1608^2 + 23644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561624409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 701631 + ... + 702430.

Almost surely, 2^561624400 is an apocalyptic number.

561624400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561624400 is an abundant number, since it is smaller than the sum of its proper divisors (787679182).

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

561624400 is a wasteful number, since it uses less digits than its factorization.

561624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404079 (or 1404068 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 561624400 is about 23698.6159933444. The cubic root of 561624400 is about 825.0532686756.

The spelling of 561624400 in words is "five hundred sixty-one million, six hundred twenty-four thousand, four hundred".