656736444 has 192 divisors, whose sum is σ = 2206489600. Its totient is φ = 164042496.

The previous prime is 656736419. The next prime is 656736461. The reversal of 656736444 is 444637656.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 656736444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184974 + ... + 188490.

Almost surely, 2^656736444 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 656736444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103244800).

656736444 is an abundant number, since it is smaller than the sum of its proper divisors (1549753156).

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

656736444 is a wasteful number, since it uses less digits than its factorization.

656736444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3561 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 656736444 is about 25626.8695708235. The cubic root of 656736444 is about 869.2213246739.

The spelling of 656736444 in words is "six hundred fifty-six million, seven hundred thirty-six thousand, four hundred forty-four".