14720400 has 240 divisors, whose sum is σ = 55353600. Its totient is φ = 3709440.

The previous prime is 14720399. The next prime is 14720401. The reversal of 14720400 is 402741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14720399) and next prime (14720401).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (14720401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313177 + ... + 313223.

It is an arithmetic number, because the mean of its divisors is an integer number (230640).

Almost surely, 2^14720400 is an apocalyptic number.

14720400 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 14720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27676800).

14720400 is an abundant number, since it is smaller than the sum of its proper divisors (40633200).

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

14720400 is a wasteful number, since it uses less digits than its factorization.

14720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14720400 is about 3836.7173468996. The cubic root of 14720400 is about 245.0792468896.

The spelling of 14720400 in words is "fourteen million, seven hundred twenty thousand, four hundred".