13954400 has 36 divisors (see below), whose sum is σ = 34068132. Its totient is φ = 5581440.

The previous prime is 13954397. The next prime is 13954453. The reversal of 13954400 is 445931.

13954400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13954400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7922 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (946337).

Almost surely, 2^13954400 is an apocalyptic number.

13954400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13954400 is an abundant number, since it is smaller than the sum of its proper divisors (20113732).

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

13954400 is a wasteful number, since it uses less digits than its factorization.

13954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17463 (or 17450 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13954400 is about 3735.5588604652. The cubic root of 13954400 is about 240.7522692120.

The spelling of 13954400 in words is "thirteen million, nine hundred fifty-four thousand, four hundred".