438820368 has 80 divisors (see below), whose sum is σ = 1298833536. Its totient is φ = 125061120.

The previous prime is 438820351. The next prime is 438820379. The reversal of 438820368 is 863028834.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153480 + ... + 156312.

Almost surely, 2^438820368 is an apocalyptic number.

438820368 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 438820368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649416768).

438820368 is an abundant number, since it is smaller than the sum of its proper divisors (860013168).

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

438820368 is a wasteful number, since it uses less digits than its factorization.

438820368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 438820368 is about 20948.0397173578. The cubic root of 438820368 is about 759.9101740559.

The spelling of 438820368 in words is "four hundred thirty-eight million, eight hundred twenty thousand, three hundred sixty-eight".