14391400 has 48 divisors (see below), whose sum is σ = 34194240. Its totient is φ = 5630400.

The previous prime is 14391397. The next prime is 14391407. The reversal of 14391400 is 419341.

14391400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14391400² = 414224787920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14391407) 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, 8635 + ... + 10165.

It is an arithmetic number, because the mean of its divisors is an integer number (712380).

Almost surely, 2^14391400 is an apocalyptic number.

14391400 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 14391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17097120).

14391400 is an abundant number, since it is smaller than the sum of its proper divisors (19802840).

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

14391400 is a wasteful number, since it uses less digits than its factorization.

14391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 14391400 is about 3793.5998734711. The cubic root of 14391400 is about 243.2396378289.

The spelling of 14391400 in words is "fourteen million, three hundred ninety-one thousand, four hundred".