440443332 has 144 divisors (see below), whose sum is σ = 1389373440. Its totient is φ = 119182752.

The previous prime is 440443291. The next prime is 440443343. The reversal of 440443332 is 233344044.

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 = 440443296 and 440443305.

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, 127573 + ... + 130979.

Almost surely, 2^440443332 is an apocalyptic number.

440443332 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 440443332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694686720).

440443332 is an abundant number, since it is smaller than the sum of its proper divisors (948930108).

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

440443332 is a wasteful number, since it uses less digits than its factorization.

440443332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 440443332 is about 20986.7418147744. The cubic root of 440443332 is about 760.8458564843.

Adding to 440443332 its reverse (233344044), we get a palindrome (673787376).

The spelling of 440443332 in words is "four hundred forty million, four hundred forty-three thousand, three hundred thirty-two".