438330048 has 112 divisors (see below), whose sum is σ = 1258311936. Its totient is φ = 133862400.

The previous prime is 438330047. The next prime is 438330121. The reversal of 438330048 is 840033834.

It is not an unprimeable number, because it can be changed into a prime (438330043) 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, 376315 + ... + 377477.

It is an arithmetic number, because the mean of its divisors is an integer number (11234928).

Almost surely, 2^438330048 is an apocalyptic number.

438330048 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 438330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629155968).

438330048 is an abundant number, since it is smaller than the sum of its proper divisors (819981888).

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

438330048 is a wasteful number, since it uses less digits than its factorization.

438330048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 438330048 is about 20936.3332033095. Note that the first 3 decimals coincide. The cubic root of 438330048 is about 759.6270376857.

The spelling of 438330048 in words is "four hundred thirty-eight million, three hundred thirty thousand, forty-eight".