561404736 has 224 divisors, whose sum is σ = 1810512000. Its totient is φ = 169795584.

The previous prime is 561404687. The next prime is 561404743. The reversal of 561404736 is 637404165.

It is a happy number.

561404736 is a `hidden beast` number, since 5 + 614 + 0 + 4 + 7 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 561404736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851575 + ... + 852233.

Almost surely, 2^561404736 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 561404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905256000).

561404736 is an abundant number, since it is smaller than the sum of its proper divisors (1249107264).

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

561404736 is a wasteful number, since it uses less digits than its factorization.

561404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 561404736 is about 23693.9810078425. The cubic root of 561404736 is about 824.9456889867.

The spelling of 561404736 in words is "five hundred sixty-one million, four hundred four thousand, seven hundred thirty-six".