438084480 has 128 divisors (see below), whose sum is σ = 1402336800. Its totient is φ = 116326400.

The previous prime is 438084457. The next prime is 438084487. The reversal of 438084480 is 84480834.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438084487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769636 + ... + 770204.

Almost surely, 2^438084480 is an apocalyptic number.

438084480 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 438084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701168400).

438084480 is an abundant number, since it is smaller than the sum of its proper divisors (964252320).

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

438084480 is a wasteful number, since it uses less digits than its factorization.

438084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 438084480 is about 20930.4677444151. The cubic root of 438084480 is about 759.4851545397.

The spelling of 438084480 in words is "four hundred thirty-eight million, eighty-four thousand, four hundred eighty".