14538400 has 72 divisors (see below), whose sum is σ = 37614780. Its totient is φ = 5468160.

The previous prime is 14538389. The next prime is 14538413. The reversal of 14538400 is 483541.

It can be written as a sum of positive squares in 6 ways, for example, as 7118224 + 7420176 = 2668^2 + 2724^2 .

It is a super-2 number, since 2×14538400² = 422730149120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 13066 + ... + 14134.

Almost surely, 2^14538400 is an apocalyptic number.

14538400 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 14538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807390).

14538400 is an abundant number, since it is smaller than the sum of its proper divisors (23076380).

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

14538400 is a wasteful number, since it uses less digits than its factorization.

14538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14538400 is about 3812.9253861045. The cubic root of 14538400 is about 244.0650189534.

The spelling of 14538400 in words is "fourteen million, five hundred thirty-eight thousand, four hundred".