14520400 has 60 divisors (see below), whose sum is σ = 36041344. Its totient is φ = 5616000.

The previous prime is 14520377. The next prime is 14520403. The reversal of 14520400 is 402541.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14520403) 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, 11815 + ... + 12985.

Almost surely, 2^14520400 is an apocalyptic number.

14520400 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 14520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020672).

14520400 is an abundant number, since it is smaller than the sum of its proper divisors (21520944).

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

14520400 is a wasteful number, since it uses less digits than its factorization.

14520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 14520400 is about 3810.5642626782. The cubic root of 14520400 is about 243.9642516830.

Adding to 14520400 its reverse (402541), we get a palindrome (14922941).

The spelling of 14520400 in words is "fourteen million, five hundred twenty thousand, four hundred".