438104480 has 96 divisors (see below), whose sum is σ = 1135088640. Its totient is φ = 158469120.

The previous prime is 438104453. The next prime is 438104497. The reversal of 438104480 is 84401834.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 402497 + ... + 403583.

It is an arithmetic number, because the mean of its divisors is an integer number (11823840).

Almost surely, 2^438104480 is an apocalyptic number.

438104480 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 438104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567544320).

438104480 is an abundant number, since it is smaller than the sum of its proper divisors (696984160).

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

438104480 is a wasteful number, since it uses less digits than its factorization.

438104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 438104480 is about 20930.9455113714. The cubic root of 438104480 is about 759.4967120304.

The spelling of 438104480 in words is "four hundred thirty-eight million, one hundred four thousand, four hundred eighty".