14285440 has 128 divisors (see below), whose sum is σ = 39327120. Its totient is φ = 4915200.

The previous prime is 14285399. The next prime is 14285449. The reversal of 14285440 is 4458241.

14285440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9585216 + 4700224 = 3096^2 + 2168^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14285399 and 14285408.

It is not an unprimeable number, because it can be changed into a prime (14285449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141390 + ... + 141490.

Almost surely, 2^14285440 is an apocalyptic number.

14285440 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 14285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663560).

14285440 is an abundant number, since it is smaller than the sum of its proper divisors (25041680).

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

14285440 is a wasteful number, since it uses less digits than its factorization.

14285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 14285440 is about 3779.6084453287. The cubic root of 14285440 is about 242.6411973967.

The spelling of 14285440 in words is "fourteen million, two hundred eighty-five thousand, four hundred forty".