13500480 has 224 divisors, whose sum is σ = 51206400. Its totient is φ = 3010560.

The previous prime is 13500479. The next prime is 13500491. The reversal of 13500480 is 8400531.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 329260 + ... + 329300.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^13500480 is an apocalyptic number.

13500480 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 13500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

13500480 is an abundant number, since it is smaller than the sum of its proper divisors (37705920).

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

13500480 is an equidigital number, since it uses as much as digits as its factorization.

13500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13500480 is about 3674.2999333206. The cubic root of 13500480 is about 238.1129798081.

The spelling of 13500480 in words is "thirteen million, five hundred thousand, four hundred eighty".