440499444 has 192 divisors, whose sum is σ = 1405071360. Its totient is φ = 103864320.

The previous prime is 440499431. The next prime is 440499469. The reversal of 440499444 is 444994044.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 440499396 and 440499405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455049 + ... + 456015.

It is an arithmetic number, because the mean of its divisors is an integer number (7318080).

Almost surely, 2^440499444 is an apocalyptic number.

440499444 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 440499444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).

440499444 is an abundant number, since it is smaller than the sum of its proper divisors (964571916).

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

440499444 is a wasteful number, since it uses less digits than its factorization.

440499444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 440499444 is about 20988.0786162050. The cubic root of 440499444 is about 760.8781654230.

The spelling of 440499444 in words is "four hundred forty million, four hundred ninety-nine thousand, four hundred forty-four".