438478480 has 40 divisors (see below), whose sum is σ = 1112143104. Its totient is φ = 159446400.

The previous prime is 438478457. The next prime is 438478483. The reversal of 438478480 is 84874834.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×438478480² = 384526754846220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 438478480.

It is not an unprimeable number, because it can be changed into a prime (438478483) 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 7 ways as a sum of consecutive naturals, for example, 248256 + ... + 250015.

Almost surely, 2^438478480 is an apocalyptic number.

438478480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438478480 is an abundant number, since it is smaller than the sum of its proper divisors (673664624).

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

438478480 is a wasteful number, since it uses less digits than its factorization.

438478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498295 (or 498289 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The square root of 438478480 is about 20939.8777455839. The cubic root of 438478480 is about 759.7127723478.

The spelling of 438478480 in words is "four hundred thirty-eight million, four hundred seventy-eight thousand, four hundred eighty".