14640400 has 60 divisors (see below), whose sum is σ = 37259892. Its totient is φ = 5509120.

The previous prime is 14640377. The next prime is 14640491. The reversal of 14640400 is 404641.

14640400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 891136 + 13749264 = 944^2 + 3708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5724 + ... + 7876.

Almost surely, 2^14640400 is an apocalyptic number.

14640400 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 14640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629946).

14640400 is an abundant number, since it is smaller than the sum of its proper divisors (22619492).

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

14640400 is a wasteful number, since it uses less digits than its factorization.

14640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 14640400 is about 3826.2775644221. The cubic root of 14640400 is about 244.6344680987.

The spelling of 14640400 in words is "fourteen million, six hundred forty thousand, four hundred".