440412324 has 96 divisors (see below), whose sum is σ = 1209116160. Its totient is φ = 123321600.

The previous prime is 440412311. The next prime is 440412337. The reversal of 440412324 is 423214044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (440412311) and next prime (440412337).

It is a junction number, because it is equal to n+sod(n) for n = 440412294 and 440412303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100687 + ... + 104969.

It is an arithmetic number, because the mean of its divisors is an integer number (12594960).

Almost surely, 2^440412324 is an apocalyptic number.

440412324 is a gapful number since it is divisible by the number (44) 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 440412324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604558080).

440412324 is an abundant number, since it is smaller than the sum of its proper divisors (768703836).

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

440412324 is a wasteful number, since it uses less digits than its factorization.

440412324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 440412324 is about 20986.0030496519. The cubic root of 440412324 is about 760.8280010946.

Adding to 440412324 its reverse (423214044), we get a palindrome (863626368).

The spelling of 440412324 in words is "four hundred forty million, four hundred twelve thousand, three hundred twenty-four".