438274224 has 60 divisors (see below), whose sum is σ = 1228082856. Its totient is φ = 145910016.

The previous prime is 438274183. The next prime is 438274231. The reversal of 438274224 is 422472834.

It is a Cunningham number, because it is equal to 20935²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166164 + ... + 168780.

Almost surely, 2^438274224 is an apocalyptic number.

It is an amenable number.

438274224 is an abundant number, since it is smaller than the sum of its proper divisors (789808632).

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

438274224 is a wasteful number, since it uses less digits than its factorization.

438274224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3785 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 438274224 is about 20934.9999761166. Note that the first 4 decimals coincide. The cubic root of 438274224 is about 759.5947886075.

It can be divided in two parts, 4382 and 74224, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 438274224 in words is "four hundred thirty-eight million, two hundred seventy-four thousand, two hundred twenty-four".