14630400 has 180 divisors, whose sum is σ = 52770432. Its totient is φ = 3870720.

The previous prime is 14630393. The next prime is 14630401. The reversal of 14630400 is 403641.

14630400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14630401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115137 + ... + 115263.

Almost surely, 2^14630400 is an apocalyptic number.

14630400 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 14630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26385216).

14630400 is an abundant number, since it is smaller than the sum of its proper divisors (38140032).

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

14630400 is a wasteful number, since it uses less digits than its factorization.

14630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14630400 is about 3824.9705881222. The cubic root of 14630400 is about 244.5787569187.

The spelling of 14630400 in words is "fourteen million, six hundred thirty thousand, four hundred".