438382560 has 384 divisors, whose sum is σ = 1785369600. Its totient is φ = 87736320.

The previous prime is 438382559. The next prime is 438382591. The reversal of 438382560 is 65283834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071636 + ... + 1072044.

It is an arithmetic number, because the mean of its divisors is an integer number (4649400).

Almost surely, 2^438382560 is an apocalyptic number.

438382560 is a gapful number since it is divisible by the number (40) 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 438382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892684800).

438382560 is an abundant number, since it is smaller than the sum of its proper divisors (1346987040).

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

438382560 is a wasteful number, since it uses less digits than its factorization.

438382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 438382560 is about 20937.5872535495. The cubic root of 438382560 is about 759.6573709490.

The spelling of 438382560 in words is "four hundred thirty-eight million, three hundred eighty-two thousand, five hundred sixty".