14384820 has 48 divisors (see below), whose sum is σ = 41142528. Its totient is φ = 3753600.

The previous prime is 14384819. The next prime is 14384861. The reversal of 14384820 is 2848341.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270 + ... + 5370.

It is an arithmetic number, because the mean of its divisors is an integer number (857136).

Almost surely, 2^14384820 is an apocalyptic number.

14384820 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 14384820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571264).

14384820 is an abundant number, since it is smaller than the sum of its proper divisors (26757708).

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

14384820 is a wasteful number, since it uses less digits than its factorization.

14384820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 14384820 is about 3792.7325241836. The cubic root of 14384820 is about 243.2025610375.

The spelling of 14384820 in words is "fourteen million, three hundred eighty-four thousand, eight hundred twenty".