438096480 has 192 divisors, whose sum is σ = 1433412288. Its totient is φ = 112394240.

The previous prime is 438096473. The next prime is 438096481. The reversal of 438096480 is 84690834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438096481) 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, 2223742 + ... + 2223938.

It is an arithmetic number, because the mean of its divisors is an integer number (7465689).

Almost surely, 2^438096480 is an apocalyptic number.

438096480 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 438096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716706144).

438096480 is an abundant number, since it is smaller than the sum of its proper divisors (995315808).

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

438096480 is a wasteful number, since it uses less digits than its factorization.

438096480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 438096480 is about 20930.7544058976. The cubic root of 438096480 is about 759.4920890763.

The spelling of 438096480 in words is "four hundred thirty-eight million, ninety-six thousand, four hundred eighty".