438454944 has 240 divisors, whose sum is σ = 1408730400. Its totient is φ = 133249536.

The previous prime is 438454931. The next prime is 438454949. The reversal of 438454944 is 449454834.

Its product of digits (1105920) is a multiple of the sum of its prime divisors (360).

It is a self number, because there is not a number n which added to its sum of digits gives 438454944.

It is not an unprimeable number, because it can be changed into a prime (438454949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1428039 + ... + 1428345.

It is an arithmetic number, because the mean of its divisors is an integer number (5869710).

Almost surely, 2^438454944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438454944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704365200).

438454944 is an abundant number, since it is smaller than the sum of its proper divisors (970275456).

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

438454944 is a wasteful number, since it uses less digits than its factorization.

438454944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 438454944 is about 20939.3157481327. The cubic root of 438454944 is about 759.6991791914.

The spelling of 438454944 in words is "four hundred thirty-eight million, four hundred fifty-four thousand, nine hundred forty-four".