14253480 has 144 divisors (see below), whose sum is σ = 49568220. Its totient is φ = 3551232.

The previous prime is 14253479. The next prime is 14253487. The reversal of 14253480 is 8435241.

It can be written as a sum of positive squares in 6 ways, for example, as 10771524 + 3481956 = 3282^2 + 1866^2 .

It is a super-2 number, since 2×14253480² = 406323384220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14253487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103972 + ... + 104108.

Almost surely, 2^14253480 is an apocalyptic number.

14253480 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 14253480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24784110).

14253480 is an abundant number, since it is smaller than the sum of its proper divisors (35314740).

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

14253480 is a wasteful number, since it uses less digits than its factorization.

14253480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 14253480 is about 3775.3781267576. The cubic root of 14253480 is about 242.4601131832.

The spelling of 14253480 in words is "fourteen million, two hundred fifty-three thousand, four hundred eighty".