14829000 has 64 divisors (see below), whose sum is σ = 46275840. Its totient is φ = 3953600.

The previous prime is 14828969. The next prime is 14829007. The reversal of 14829000 is 92841.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14829007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529 + ... + 5471.

It is an arithmetic number, because the mean of its divisors is an integer number (723060).

Almost surely, 2^14829000 is an apocalyptic number.

14829000 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 14829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137920).

14829000 is an abundant number, since it is smaller than the sum of its proper divisors (31446840).

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

14829000 is a wasteful number, since it uses less digits than its factorization.

14829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 14829000 is about 3850.8440633191. The cubic root of 14829000 is about 245.6804629074.

The spelling of 14829000 in words is "fourteen million, eight hundred twenty-nine thousand".