14340480 has 256 divisors, whose sum is σ = 57576960. Its totient is φ = 2949120.

The previous prime is 14340467. The next prime is 14340493. The reversal of 14340480 is 8404341.

It is an interprime number because it is at equal distance from previous prime (14340467) and next prime (14340493).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14340480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147792 + ... + 147888.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^14340480 is an apocalyptic number.

14340480 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 14340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

14340480 is an abundant number, since it is smaller than the sum of its proper divisors (43236480).

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

14340480 is a wasteful number, since it uses less digits than its factorization.

14340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14340480 is about 3786.8826229499. The cubic root of 14340480 is about 242.9524200227.

The spelling of 14340480 in words is "fourteen million, three hundred forty thousand, four hundred eighty".