440755140 has 96 divisors (see below), whose sum is σ = 1414473984. Its totient is φ = 100454400.

The previous prime is 440755129. The next prime is 440755153. The reversal of 440755140 is 41557044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 440755098 and 440755107.

It is an unprimeable number.

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, 167112 + ... + 169728.

It is an arithmetic number, because the mean of its divisors is an integer number (14734104).

Almost surely, 2^440755140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440755140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707236992).

440755140 is an abundant number, since it is smaller than the sum of its proper divisors (973718844).

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

440755140 is a wasteful number, since it uses less digits than its factorization.

440755140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 440755140 is about 20994.1691905157. The cubic root of 440755140 is about 761.0253588524.

The spelling of 440755140 in words is "four hundred forty million, seven hundred fifty-five thousand, one hundred forty".