438402048 has 352 divisors, whose sum is σ = 1493491200. Its totient is φ = 111476736.

The previous prime is 438402043. The next prime is 438402049. The reversal of 438402048 is 840204834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438402043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11848686 + ... + 11848722.

Almost surely, 2^438402048 is an apocalyptic number.

438402048 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 438402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746745600).

438402048 is an abundant number, since it is smaller than the sum of its proper divisors (1055089152).

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

438402048 is a wasteful number, since it uses less digits than its factorization.

438402048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 438402048 is about 20938.0526315128. The cubic root of 438402048 is about 759.6686274669.

The spelling of 438402048 in words is "four hundred thirty-eight million, four hundred two thousand, forty-eight".