14479920 has 360 divisors, whose sum is σ = 63719136. Its totient is φ = 2875392.

The previous prime is 14479909. The next prime is 14479921. The reversal of 14479920 is 2997441.

14479920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14479921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851752 + ... + 851768.

Almost surely, 2^14479920 is an apocalyptic number.

14479920 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 14479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31859568).

14479920 is an abundant number, since it is smaller than the sum of its proper divisors (49239216).

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

14479920 is a wasteful number, since it uses less digits than its factorization.

14479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 14479920 is about 3805.2490063069. The cubic root of 14479920 is about 243.7373326750.

The spelling of 14479920 in words is "fourteen million, four hundred seventy-nine thousand, nine hundred twenty".