438870320 has 160 divisors (see below), whose sum is σ = 1221350400. Its totient is φ = 143520768.

The previous prime is 438870293. The next prime is 438870329. The reversal of 438870320 is 23078834.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (438870329) 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, 1222301 + ... + 1222659.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2^438870320 is an apocalyptic number.

438870320 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 438870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610675200).

438870320 is an abundant number, since it is smaller than the sum of its proper divisors (782480080).

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

438870320 is a wasteful number, since it uses less digits than its factorization.

438870320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 438870320 is about 20949.2319668288. The cubic root of 438870320 is about 759.9390071089.

The spelling of 438870320 in words is "four hundred thirty-eight million, eight hundred seventy thousand, three hundred twenty".