438981120 has 400 divisors, whose sum is σ = 1648789560. Its totient is φ = 111476736.

The previous prime is 438981007. The next prime is 438981203. The reversal of 438981120 is 21189834.

It can be written as a sum of positive squares in 4 ways, for example, as 366799104 + 72182016 = 19152^2 + 8496^2 .

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 39 ways as a sum of consecutive naturals, for example, 6013404 + ... + 6013476.

Almost surely, 2^438981120 is an apocalyptic number.

438981120 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 438981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824394780).

438981120 is an abundant number, since it is smaller than the sum of its proper divisors (1209808440).

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

438981120 is an equidigital number, since it uses as much as digits as its factorization.

438981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 438981120 is about 20951.8762882946. The cubic root of 438981120 is about 760.0029547438.

The spelling of 438981120 in words is "four hundred thirty-eight million, nine hundred eighty-one thousand, one hundred twenty".