440689920 has 144 divisors (see below), whose sum is σ = 1535550912. Its totient is φ = 106823680.

The previous prime is 440689903. The next prime is 440689927. The reversal of 440689920 is 29986044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440689927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37024 + ... + 47456.

It is an arithmetic number, because the mean of its divisors is an integer number (10663548).

Almost surely, 2^440689920 is an apocalyptic number.

440689920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767775456).

440689920 is an abundant number, since it is smaller than the sum of its proper divisors (1094860992).

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

440689920 is a wasteful number, since it uses less digits than its factorization.

440689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 440689920 is about 20992.6158446250. The cubic root of 440689920 is about 760.9878198519.

The spelling of 440689920 in words is "four hundred forty million, six hundred eighty-nine thousand, nine hundred twenty".