561546432 has 140 divisors (see below), whose sum is σ = 1678076400. Its totient is φ = 185670144.

The previous prime is 561546413. The next prime is 561546437. The reversal of 561546432 is 234645165.

561546432 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 4 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (86400) is a multiple of the sum of its prime factors (900).

It is not an unprimeable number, because it can be changed into a prime (561546437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 772053 + ... + 772779.

It is an arithmetic number, because the mean of its divisors is an integer number (11986260).

Almost surely, 2^561546432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839038200).

561546432 is an abundant number, since it is smaller than the sum of its proper divisors (1116529968).

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

561546432 is a wasteful number, since it uses less digits than its factorization.

561546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 881 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 561546432 is about 23696.9709456715. The cubic root of 561546432 is about 825.0150873274.

The spelling of 561546432 in words is "five hundred sixty-one million, five hundred forty-six thousand, four hundred thirty-two".