440264232 has 192 divisors, whose sum is σ = 1339752960. Its totient is φ = 129945600.

The previous prime is 440264173. The next prime is 440264243. The reversal of 440264232 is 232462044.

It is a junction number, because it is equal to n+sod(n) for n = 440264196 and 440264205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1555563 + ... + 1555845.

It is an arithmetic number, because the mean of its divisors is an integer number (6977880).

Almost surely, 2^440264232 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 440264232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669876480).

440264232 is an abundant number, since it is smaller than the sum of its proper divisors (899488728).

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

440264232 is a wasteful number, since it uses less digits than its factorization.

440264232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 440264232 is about 20982.4744012712. The cubic root of 440264232 is about 760.7427134633.

The spelling of 440264232 in words is "four hundred forty million, two hundred sixty-four thousand, two hundred thirty-two".