14790400 has 54 divisors (see below), whose sum is σ = 36624392. Its totient is φ = 5913600.

The previous prime is 14790397. The next prime is 14790401. The reversal of 14790400 is 409741.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14790401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5245 + ... + 7555.

Almost surely, 2^14790400 is an apocalyptic number.

14790400 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 14790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18312196).

14790400 is an abundant number, since it is smaller than the sum of its proper divisors (21833992).

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

14790400 is an equidigital number, since it uses as much as digits as its factorization.

14790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 14790400 is about 3845.8289093510. The cubic root of 14790400 is about 245.4671083066.

The spelling of 14790400 in words is "fourteen million, seven hundred ninety thousand, four hundred".