14132480 has 72 divisors (see below), whose sum is σ = 34596744. Its totient is φ = 5529600.

The previous prime is 14132471. The next prime is 14132513. The reversal of 14132480 is 8423141.

It can be written as a sum of positive squares in 4 ways, for example, as 1401856 + 12730624 = 1184^2 + 3568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77990 + ... + 78170.

Almost surely, 2^14132480 is an apocalyptic number.

14132480 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 14132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298372).

14132480 is an abundant number, since it is smaller than the sum of its proper divisors (20464264).

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

14132480 is an equidigital number, since it uses as much as digits as its factorization.

14132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 14132480 is about 3759.3190872816. The cubic root of 14132480 is about 241.7720687009.

The spelling of 14132480 in words is "fourteen million, one hundred thirty-two thousand, four hundred eighty".