14800401 has 72 divisors (see below), whose sum is σ = 28383264. Its totient is φ = 7620480.

The previous prime is 14800381. The next prime is 14800427. The reversal of 14800401 is 10400841.

It is not a de Polignac number, because 14800401 - 2¹⁴ = 14784017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130921 + ... + 131033.

It is an arithmetic number, because the mean of its divisors is an integer number (394212).

Almost surely, 2^14800401 is an apocalyptic number.

14800401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14800401 is a deficient number, since it is larger than the sum of its proper divisors (13582863).

14800401 is a wasteful number, since it uses less digits than its factorization.

14800401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14800401 is about 3847.1289294746. The cubic root of 14800401 is about 245.5224226419.

The spelling of 14800401 in words is "fourteen million, eight hundred thousand, four hundred one".