14254880 has 72 divisors (see below), whose sum is σ = 35169876. Its totient is φ = 5457920.

The previous prime is 14254859. The next prime is 14254897. The reversal of 14254880 is 8845241.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 976144 + 13278736 = 988^2 + 3644^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268934 + ... + 268986.

Almost surely, 2^14254880 is an apocalyptic number.

14254880 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 14254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17584938).

14254880 is an abundant number, since it is smaller than the sum of its proper divisors (20914996).

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

14254880 is an equidigital number, since it uses as much as digits as its factorization.

14254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 14254880 is about 3775.5635340966. The cubic root of 14254880 is about 242.4680511989.

The spelling of 14254880 in words is "fourteen million, two hundred fifty-four thousand, eight hundred eighty".