440331320 has 128 divisors (see below), whose sum is σ = 1214922240. Its totient is φ = 141335040.

The previous prime is 440331301. The next prime is 440331323. The reversal of 440331320 is 23133044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 440331292 and 440331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440331323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129887 + ... + 133233.

It is an arithmetic number, because the mean of its divisors is an integer number (9491580).

Almost surely, 2^440331320 is an apocalyptic number.

440331320 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 440331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607461120).

440331320 is an abundant number, since it is smaller than the sum of its proper divisors (774590920).

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

440331320 is a wasteful number, since it uses less digits than its factorization.

440331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 440331320 is about 20984.0730078791. The cubic root of 440331320 is about 760.7813524679.

Adding to 440331320 its reverse (23133044), we get a palindrome (463464364).

The spelling of 440331320 in words is "four hundred forty million, three hundred thirty-one thousand, three hundred twenty".