14948200 has 48 divisors (see below), whose sum is σ = 35890560. Its totient is φ = 5784000.

The previous prime is 14948191. The next prime is 14948237. The reversal of 14948200 is 284941.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4995 + ... + 7405.

It is an arithmetic number, because the mean of its divisors is an integer number (747720).

Almost surely, 2^14948200 is an apocalyptic number.

14948200 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 14948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17945280).

14948200 is an abundant number, since it is smaller than the sum of its proper divisors (20942360).

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

14948200 is a wasteful number, since it uses less digits than its factorization.

14948200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 14948200 is about 3866.2902115594. The cubic root of 14948200 is about 246.3369916054.

The spelling of 14948200 in words is "fourteen million, nine hundred forty-eight thousand, two hundred".