14530400 has 72 divisors (see below), whose sum is σ = 36419544. Its totient is φ = 5657600.

The previous prime is 14530387. The next prime is 14530409. The reversal of 14530400 is 403541.

It is a super-2 number, since 2×14530400² = 422265048320000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530409) 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, 32579 + ... + 33021.

It is an arithmetic number, because the mean of its divisors is an integer number (505827).

Almost surely, 2^14530400 is an apocalyptic number.

14530400 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 14530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209772).

14530400 is an abundant number, since it is smaller than the sum of its proper divisors (21889144).

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

14530400 is a wasteful number, since it uses less digits than its factorization.

14530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 14530400 is about 3811.8761784717. The cubic root of 14530400 is about 244.0202437741.

Adding to 14530400 its reverse (403541), we get a palindrome (14933941).

The spelling of 14530400 in words is "fourteen million, five hundred thirty thousand, four hundred".