14753440 has 96 divisors (see below), whose sum is σ = 38673936. Its totient is φ = 5283840.

The previous prime is 14753423. The next prime is 14753461. The reversal of 14753440 is 4435741.

It can be written as a sum of positive squares in 8 ways, for example, as 3111696 + 11641744 = 1764^2 + 3412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14753399 and 14753408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85194 + ... + 85366.

Almost surely, 2^14753440 is an apocalyptic number.

14753440 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 14753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336968).

14753440 is an abundant number, since it is smaller than the sum of its proper divisors (23920496).

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

14753440 is a wasteful number, since it uses less digits than its factorization.

14753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 14753440 is about 3841.0206976792. The cubic root of 14753440 is about 245.2624703444.

The spelling of 14753440 in words is "fourteen million, seven hundred fifty-three thousand, four hundred forty".