438480840 has 128 divisors (see below), whose sum is σ = 1517472000. Its totient is φ = 99283968.

The previous prime is 438480829. The next prime is 438480853. The reversal of 438480840 is 48084834.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89166 + ... + 93954.

It is an arithmetic number, because the mean of its divisors is an integer number (11855250).

Almost surely, 2^438480840 is an apocalyptic number.

438480840 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 438480840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758736000).

438480840 is an abundant number, since it is smaller than the sum of its proper divisors (1078991160).

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

438480840 is a wasteful number, since it uses less digits than its factorization.

438480840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919 (or 4915 counting only the distinct ones).

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

The square root of 438480840 is about 20939.9340973175. The cubic root of 438480840 is about 759.7141353329.

The spelling of 438480840 in words is "four hundred thirty-eight million, four hundred eighty thousand, eight hundred forty".