14531400 has 288 divisors, whose sum is σ = 56871360. Its totient is φ = 3421440.

The previous prime is 14531393. The next prime is 14531401. The reversal of 14531400 is 413541.

It is a happy number.

It is a super-2 number, since 2×14531400² = 422323171920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14531401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631789 + ... + 631811.

It is an arithmetic number, because the mean of its divisors is an integer number (197470).

Almost surely, 2^14531400 is an apocalyptic number.

14531400 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 14531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

14531400 is an abundant number, since it is smaller than the sum of its proper divisors (42339960).

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

14531400 is a wasteful number, since it uses less digits than its factorization.

14531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

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

The square root of 14531400 is about 3812.0073452185. The cubic root of 14531400 is about 244.0258415702.

Adding to 14531400 its reverse (413541), we get a palindrome (14944941).

The spelling of 14531400 in words is "fourteen million, five hundred thirty-one thousand, four hundred".