13830480 has 160 divisors (see below), whose sum is σ = 50294400. Its totient is φ = 3483648.

The previous prime is 13830473. The next prime is 13830491. The reversal of 13830480 is 8403831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 40872 + ... + 41208.

It is an arithmetic number, because the mean of its divisors is an integer number (314340).

Almost surely, 2^13830480 is an apocalyptic number.

13830480 is a gapful number since it is divisible by the number (10) 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 13830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147200).

13830480 is an abundant number, since it is smaller than the sum of its proper divisors (36463920).

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

13830480 is a wasteful number, since it uses less digits than its factorization.

13830480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13830480 is about 3718.9353315163. The cubic root of 13830480 is about 240.0374941422.

It can be divided in two parts, 138304 and 80, that added together give a square (138384 = 372²).

The spelling of 13830480 in words is "thirteen million, eight hundred thirty thousand, four hundred eighty".