14692480 has 64 divisors (see below), whose sum is σ = 38335680. Its totient is φ = 5340160.

The previous prime is 14692477. The next prime is 14692487. The reversal of 14692480 is 8429641.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (14692487) 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, 5997 + ... + 8083.

It is an arithmetic number, because the mean of its divisors is an integer number (598995).

Almost surely, 2^14692480 is an apocalyptic number.

14692480 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 14692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167840).

14692480 is an abundant number, since it is smaller than the sum of its proper divisors (23643200).

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

14692480 is a wasteful number, since it uses less digits than its factorization.

14692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 14692480 is about 3833.0770928850. The cubic root of 14692480 is about 244.9242025694.

The spelling of 14692480 in words is "fourteen million, six hundred ninety-two thousand, four hundred eighty".