14469120 has 144 divisors (see below), whose sum is σ = 50466780. Its totient is φ = 3833856.

The previous prime is 14469097. The next prime is 14469121. The reversal of 14469120 is 2196441.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 451584 = 3744^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14469121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92082 + ... + 92238.

Almost surely, 2^14469120 is an apocalyptic number.

14469120 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 14469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25233390).

14469120 is an abundant number, since it is smaller than the sum of its proper divisors (35997660).

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

14469120 is a wasteful number, since it uses less digits than its factorization.

14469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14469120 is about 3803.8296491825. The cubic root of 14469120 is about 243.6767195887.

The spelling of 14469120 in words is "fourteen million, four hundred sixty-nine thousand, one hundred twenty".