438204648 has 192 divisors, whose sum is σ = 1409477760. Its totient is φ = 112594944.

The previous prime is 438204617. The next prime is 438204661. The reversal of 438204648 is 846402834.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459340 + ... + 460292.

It is an arithmetic number, because the mean of its divisors is an integer number (7341030).

Almost surely, 2^438204648 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 438204648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704738880).

438204648 is an abundant number, since it is smaller than the sum of its proper divisors (971273112).

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

438204648 is a wasteful number, since it uses less digits than its factorization.

438204648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 438204648 is about 20933.3381953285. The cubic root of 438204648 is about 759.5545912752.

The spelling of 438204648 in words is "four hundred thirty-eight million, two hundred four thousand, six hundred forty-eight".