561409632 has 144 divisors (see below), whose sum is σ = 1932027552. Its totient is φ = 150958080.

The previous prime is 561409609. The next prime is 561409661. The reversal of 561409632 is 236904165.

It is a happy number.

561409632 is a `hidden beast` number, since 5 + 6 + 14 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26082 + ... + 42462.

It is an arithmetic number, because the mean of its divisors is an integer number (13416858).

Almost surely, 2^561409632 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 561409632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966013776).

561409632 is an abundant number, since it is smaller than the sum of its proper divisors (1370617920).

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

561409632 is a wasteful number, since it uses less digits than its factorization.

561409632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16421 (or 16410 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 561409632 is about 23694.0843249956. The cubic root of 561409632 is about 824.9480870916.

The spelling of 561409632 in words is "five hundred sixty-one million, four hundred nine thousand, six hundred thirty-two".