14985300 has 144 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 3427200.

The previous prime is 14985283. The next prime is 14985301. The reversal of 14985300 is 358941.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14985301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62581 + ... + 62819.

It is an arithmetic number, because the mean of its divisors is an integer number (347200).

Almost surely, 2^14985300 is an apocalyptic number.

14985300 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 14985300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

14985300 is an abundant number, since it is smaller than the sum of its proper divisors (35011500).

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

14985300 is a wasteful number, since it uses less digits than its factorization.

14985300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 14985300 is about 3871.0851191882. The cubic root of 14985300 is about 246.5406181737.

The spelling of 14985300 in words is "fourteen million, nine hundred eighty-five thousand, three hundred".