438069120 has 128 divisors (see below), whose sum is σ = 1406522880. Its totient is φ = 115968000.

The previous prime is 438069113. The next prime is 438069139. The reversal of 438069120 is 21960834.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289165 + ... + 290675.

It is an arithmetic number, because the mean of its divisors is an integer number (10988460).

Almost surely, 2^438069120 is an apocalyptic number.

438069120 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 438069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703261440).

438069120 is an abundant number, since it is smaller than the sum of its proper divisors (968453760).

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

438069120 is a wasteful number, since it uses less digits than its factorization.

438069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 438069120 is about 20930.1008119885. The cubic root of 438069120 is about 759.4762781480.

The spelling of 438069120 in words is "four hundred thirty-eight million, sixty-nine thousand, one hundred twenty".