14930400 has 72 divisors (see below), whose sum is σ = 48606264. Its totient is φ = 3980800.

The previous prime is 14930393. The next prime is 14930411. The reversal of 14930400 is 403941.

14930400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 711 + ... + 5510.

It is an arithmetic number, because the mean of its divisors is an integer number (675087).

Almost surely, 2^14930400 is an apocalyptic number.

14930400 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 14930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24303132).

14930400 is an abundant number, since it is smaller than the sum of its proper divisors (33675864).

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

14930400 is a wasteful number, since it uses less digits than its factorization.

14930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 14930400 is about 3863.9875776198. The cubic root of 14930400 is about 246.2391751449.

The spelling of 14930400 in words is "fourteen million, nine hundred thirty thousand, four hundred".