440085920 has 96 divisors (see below), whose sum is σ = 1087188480. Its totient is φ = 168145920.

The previous prime is 440085907. The next prime is 440085929. The reversal of 440085920 is 29580044.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (440085929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411146 + ... + 412214.

It is an arithmetic number, because the mean of its divisors is an integer number (11324880).

Almost surely, 2^440085920 is an apocalyptic number.

440085920 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 440085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543594240).

440085920 is an abundant number, since it is smaller than the sum of its proper divisors (647102560).

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

440085920 is a wasteful number, since it uses less digits than its factorization.

440085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 440085920 is about 20978.2249010730. The cubic root of 440085920 is about 760.6399964567.

The spelling of 440085920 in words is "four hundred forty million, eighty-five thousand, nine hundred twenty".