438805248 has 144 divisors (see below), whose sum is σ = 1378277376. Its totient is φ = 121282560.

The previous prime is 438805223. The next prime is 438805253. The reversal of 438805248 is 842508834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 165340 + ... + 167972.

Almost surely, 2^438805248 is an apocalyptic number.

438805248 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 438805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689138688).

438805248 is an abundant number, since it is smaller than the sum of its proper divisors (939472128).

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

438805248 is a wasteful number, since it uses less digits than its factorization.

438805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 438805248 is about 20947.6788212919. The cubic root of 438805248 is about 759.9014461309.

The spelling of 438805248 in words is "four hundred thirty-eight million, eight hundred five thousand, two hundred forty-eight".