14407840 has 48 divisors (see below), whose sum is σ = 36047592. Its totient is φ = 5423104.

The previous prime is 14407829. The next prime is 14407847. The reversal of 14407840 is 4870441.

14407840 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 4 ways, for example, as 14107536 + 300304 = 3756^2 + 548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14407799 and 14407808.

It is not an unprimeable number, because it can be changed into a prime (14407847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 5368.

Almost surely, 2^14407840 is an apocalyptic number.

14407840 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 14407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023796).

14407840 is an abundant number, since it is smaller than the sum of its proper divisors (21639752).

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

14407840 is a wasteful number, since it uses less digits than its factorization.

14407840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 14407840 is about 3795.7660623384. The cubic root of 14407840 is about 243.3322240937.

It can be divided in two parts, 1440 and 7840, that multiplied together give a square (11289600 = 3360²).

The spelling of 14407840 in words is "fourteen million, four hundred seven thousand, eight hundred forty".