438954048 has 252 divisors, whose sum is σ = 1423036524. Its totient is φ = 128563200.

The previous prime is 438954029. The next prime is 438954053. The reversal of 438954048 is 840459834.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 403527744 = 5952^2 + 20088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 438953994 and 438954012.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7195938 + ... + 7195998.

Almost surely, 2^438954048 is an apocalyptic number.

438954048 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 438954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711518262).

438954048 is an abundant number, since it is smaller than the sum of its proper divisors (984082476).

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

438954048 is a wasteful number, since it uses less digits than its factorization.

438954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 438954048 is about 20951.2302264091. The cubic root of 438954048 is about 759.9873312754.

The spelling of 438954048 in words is "four hundred thirty-eight million, nine hundred fifty-four thousand, forty-eight".