440087160 has 128 divisors (see below), whose sum is σ = 1443225600. Its totient is φ = 106874880.

The previous prime is 440087159. The next prime is 440087189. The reversal of 440087160 is 61780044.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59761 + ... + 66719.

It is an arithmetic number, because the mean of its divisors is an integer number (11275200).

Almost surely, 2^440087160 is an apocalyptic number.

440087160 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 440087160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721612800).

440087160 is an abundant number, since it is smaller than the sum of its proper divisors (1003138440).

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

440087160 is a wasteful number, since it uses less digits than its factorization.

440087160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 440087160 is about 20978.2544555070. The cubic root of 440087160 is about 760.6407108571.

The spelling of 440087160 in words is "four hundred forty million, eighty-seven thousand, one hundred sixty".