14513400 has 144 divisors (see below), whose sum is σ = 53244360. Its totient is φ = 3513600.

The previous prime is 14513383. The next prime is 14513413. The reversal of 14513400 is 431541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19434 + ... + 20166.

Almost surely, 2^14513400 is an apocalyptic number.

14513400 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 14513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26622180).

14513400 is an abundant number, since it is smaller than the sum of its proper divisors (38730960).

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

14513400 is a wasteful number, since it uses less digits than its factorization.

14513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14513400 is about 3809.6456528134. The cubic root of 14513400 is about 243.9250419215.

Adding to 14513400 its reverse (431541), we get a palindrome (14944941).

It can be divided in two parts, 1451 and 3400, that added together give a triangular number (4851 = T₉₈).

The spelling of 14513400 in words is "fourteen million, five hundred thirteen thousand, four hundred".