440084232 has 128 divisors (see below), whose sum is σ = 1470720000. Its totient is φ = 119112768.

The previous prime is 440084191. The next prime is 440084233. The reversal of 440084232 is 232480044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 440084196 and 440084205.

It is not an unprimeable number, because it can be changed into a prime (440084233) by changing a digit.

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, 21069 + ... + 36387.

It is an arithmetic number, because the mean of its divisors is an integer number (11490000).

Almost surely, 2^440084232 is an apocalyptic number.

440084232 is a gapful number since it is divisible by the number (42) 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 440084232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735360000).

440084232 is an abundant number, since it is smaller than the sum of its proper divisors (1030635768).

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

440084232 is a wasteful number, since it uses less digits than its factorization.

440084232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 15350 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 440084232 is about 20978.1846688411. The cubic root of 440084232 is about 760.6390239482.

The spelling of 440084232 in words is "four hundred forty million, eighty-four thousand, two hundred thirty-two".