14401900 has 36 divisors (see below), whose sum is σ = 31794840. Its totient is φ = 5660800.

The previous prime is 14401897. The next prime is 14401909. The reversal of 14401900 is 910441.

It is a super-2 number, since 2×14401900² = 414829447220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14401909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4680 + ... + 7120.

It is an arithmetic number, because the mean of its divisors is an integer number (883190).

Almost surely, 2^14401900 is an apocalyptic number.

14401900 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 14401900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897420).

14401900 is an abundant number, since it is smaller than the sum of its proper divisors (17392940).

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

14401900 is a wasteful number, since it uses less digits than its factorization.

14401900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 14401900 is about 3794.9835309261. The cubic root of 14401900 is about 243.2987795225.

The spelling of 14401900 in words is "fourteen million, four hundred one thousand, nine hundred".