440326656 has 480 divisors, whose sum is σ = 1700569728. Its totient is φ = 106168320.

The previous prime is 440326619. The next prime is 440326709. The reversal of 440326656 is 656623044.

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 440326656.

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 47 ways as a sum of consecutive naturals, for example, 6031836 + ... + 6031908.

Almost surely, 2^440326656 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 440326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850284864).

440326656 is an abundant number, since it is smaller than the sum of its proper divisors (1260243072).

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

440326656 is a wasteful number, since it uses less digits than its factorization.

440326656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 440326656 is about 20983.9618756802. The cubic root of 440326656 is about 760.7786663869.

The spelling of 440326656 in words is "four hundred forty million, three hundred twenty-six thousand, six hundred fifty-six".