438496480 has 24 divisors (see below), whose sum is σ = 1035948312. Its totient is φ = 175398528.

The previous prime is 438496477. The next prime is 438496483. The reversal of 438496480 is 84694834.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (438496477) and next prime (438496483).

It is a self number, because there is not a number n which added to its sum of digits gives 438496480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438496483) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1370142 + ... + 1370461.

It is an arithmetic number, because the mean of its divisors is an integer number (43164513).

Almost surely, 2^438496480 is an apocalyptic number.

438496480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438496480 is an abundant number, since it is smaller than the sum of its proper divisors (597451832).

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

438496480 is a wasteful number, since it uses less digits than its factorization.

438496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740618 (or 2740610 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 438496480 is about 20940.3075431093. The cubic root of 438496480 is about 759.7231678734.

It can be divided in two parts, 438496 and 480, that added together give a cube (438976 = 76³).

The spelling of 438496480 in words is "four hundred thirty-eight million, four hundred ninety-six thousand, four hundred eighty".