438405472 has 48 divisors (see below), whose sum is σ = 910006272. Its totient is φ = 207596160.

The previous prime is 438405467. The next prime is 438405481. The reversal of 438405472 is 274504834.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41923 + ... + 51325.

It is an arithmetic number, because the mean of its divisors is an integer number (18958464).

Almost surely, 2^438405472 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 438405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455003136).

438405472 is an abundant number, since it is smaller than the sum of its proper divisors (471600800).

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

438405472 is a wasteful number, since it uses less digits than its factorization.

438405472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9491 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The square root of 438405472 is about 20938.1343963592. The cubic root of 438405472 is about 759.6706051787.

The spelling of 438405472 in words is "four hundred thirty-eight million, four hundred five thousand, four hundred seventy-two".