438478272 has 140 divisors (see below), whose sum is σ = 1332134496. Its totient is φ = 142525440.

The previous prime is 438478259. The next prime is 438478277. The reversal of 438478272 is 272874834.

It is a super-2 number, since 2×438478272² = 384526390032211968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438478277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211513 + ... + 213575.

Almost surely, 2^438478272 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 438478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666067248).

438478272 is an abundant number, since it is smaller than the sum of its proper divisors (893656224).

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

438478272 is a wasteful number, since it uses less digits than its factorization.

438478272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2109 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 438478272 is about 20939.8727789832. The cubic root of 438478272 is about 759.7126522201.

The spelling of 438478272 in words is "four hundred thirty-eight million, four hundred seventy-eight thousand, two hundred seventy-two".