14964900 has 72 divisors (see below), whose sum is σ = 43893024. Its totient is φ = 3936000.

The previous prime is 14964893. The next prime is 14964907. The reversal of 14964900 is 946941.

It is an interprime number because it is at equal distance from previous prime (14964893) and next prime (14964907).

It is not an unprimeable number, because it can be changed into a prime (14964907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24600 + ... + 25200.

Almost surely, 2^14964900 is an apocalyptic number.

14964900 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 14964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946512).

14964900 is an abundant number, since it is smaller than the sum of its proper divisors (28928124).

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

14964900 is a wasteful number, since it uses less digits than its factorization.

14964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 14964900 is about 3868.4493017228. The cubic root of 14964900 is about 246.4286926515.

The spelling of 14964900 in words is "fourteen million, nine hundred sixty-four thousand, nine hundred".