14853456 has 100 divisors (see below), whose sum is σ = 43856692. Its totient is φ = 4852224.

The previous prime is 14853407. The next prime is 14853463. The reversal of 14853456 is 65435841.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 8503056 = 2520^2 + 2916^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14853456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94530 + ... + 94686.

Almost surely, 2^14853456 is an apocalyptic number.

14853456 is a gapful number since it is divisible by the number (16) 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 14853456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21928346).

14853456 is an abundant number, since it is smaller than the sum of its proper divisors (29003236).

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

14853456 is a wasteful number, since it uses less digits than its factorization.

14853456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 14853456 is about 3854.0181629048. The cubic root of 14853456 is about 245.8154475417.

The spelling of 14853456 in words is "fourteen million, eight hundred fifty-three thousand, four hundred fifty-six".