14930800 has 60 divisors (see below), whose sum is σ = 36248920. Its totient is φ = 5909760.

The previous prime is 14930791. The next prime is 14930801. The reversal of 14930800 is 803941.

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 (14930801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65086 + ... + 65314.

Almost surely, 2^14930800 is an apocalyptic number.

14930800 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 14930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124460).

14930800 is an abundant number, since it is smaller than the sum of its proper divisors (21318120).

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

14930800 is a wasteful number, since it uses less digits than its factorization.

14930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 14930800 is about 3864.0393372739. The cubic root of 14930800 is about 246.2413741213.

The spelling of 14930800 in words is "fourteen million, nine hundred thirty thousand, eight hundred".