440038368 has 144 divisors (see below), whose sum is σ = 1560214656. Its totient is φ = 114289920.

The previous prime is 440038349. The next prime is 440038381. The reversal of 440038368 is 863830044.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12255 + ... + 32097.

It is an arithmetic number, because the mean of its divisors is an integer number (10834824).

Almost surely, 2^440038368 is an apocalyptic number.

440038368 is a gapful number since it is divisible by the number (48) 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 440038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780107328).

440038368 is an abundant number, since it is smaller than the sum of its proper divisors (1120176288).

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

440038368 is a wasteful number, since it uses less digits than its factorization.

440038368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19877 (or 19866 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 440038368 is about 20977.0915047821. The cubic root of 440038368 is about 760.6125993400.

The spelling of 440038368 in words is "four hundred forty million, thirty-eight thousand, three hundred sixty-eight".