438426912 has 288 divisors, whose sum is σ = 1506496320. Its totient is φ = 110315520.

The previous prime is 438426907. The next prime is 438426913. The reversal of 438426912 is 219624834.

It is not an unprimeable number, because it can be changed into a prime (438426913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1914414 + ... + 1914642.

It is an arithmetic number, because the mean of its divisors is an integer number (5230890).

Almost surely, 2^438426912 is an apocalyptic number.

438426912 is a gapful number since it is divisible by the number (42) 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 438426912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753248160).

438426912 is an abundant number, since it is smaller than the sum of its proper divisors (1068069408).

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

438426912 is a wasteful number, since it uses less digits than its factorization.

438426912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 438426912 is about 20938.6463745869. The cubic root of 438426912 is about 759.6829887469.

It can be divided in two parts, 438 and 426912, that added together give a triangular number (427350 = T₉₂₄).

The spelling of 438426912 in words is "four hundred thirty-eight million, four hundred twenty-six thousand, nine hundred twelve".