14801280 has 128 divisors (see below), whose sum is σ = 50893920. Its totient is φ = 3637248.

The previous prime is 14801279. The next prime is 14801309. The reversal of 14801280 is 8210841.

It is a tau number, because it is divible by the number of its divisors (128).

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 14801280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24664 + ... + 25256.

Almost surely, 2^14801280 is an apocalyptic number.

14801280 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 14801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25446960).

14801280 is an abundant number, since it is smaller than the sum of its proper divisors (36092640).

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

14801280 is a wasteful number, since it uses less digits than its factorization.

14801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 14801280 is about 3847.2431688158. The cubic root of 14801280 is about 245.5272830944.

The spelling of 14801280 in words is "fourteen million, eight hundred one thousand, two hundred eighty".