13350480 has 160 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 2979840.

The previous prime is 13350479. The next prime is 13350499. The reversal of 13350480 is 8405331.

13350480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13350480.

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, 34126 + ... + 34514.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^13350480 is an apocalyptic number.

13350480 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 13350480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13350480 is an abundant number, since it is smaller than the sum of its proper divisors (35396400).

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

13350480 is a wasteful number, since it uses less digits than its factorization.

13350480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13350480 is about 3653.8308663648. The cubic root of 13350480 is about 237.2278248637.

The spelling of 13350480 in words is "thirteen million, three hundred fifty thousand, four hundred eighty".