14310400 has 132 divisors (see below), whose sum is σ = 39089512. Its totient is φ = 5160960.

The previous prime is 14310377. The next prime is 14310451. The reversal of 14310400 is 401341.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332779 + ... + 332821.

Almost surely, 2^14310400 is an apocalyptic number.

14310400 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 14310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544756).

14310400 is an abundant number, since it is smaller than the sum of its proper divisors (24779112).

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

14310400 is a wasteful number, since it uses less digits than its factorization.

14310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 14310400 is about 3782.9089336118. The cubic root of 14310400 is about 242.7824321186.

Adding to 14310400 its reverse (401341), we get a palindrome (14711741).

The spelling of 14310400 in words is "fourteen million, three hundred ten thousand, four hundred".