14400820 has 48 divisors (see below), whose sum is σ = 35763840. Its totient is φ = 4765824.

The previous prime is 14400811. The next prime is 14400839. The reversal of 14400820 is 2800441.

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, 2287 + ... + 5833.

It is an arithmetic number, because the mean of its divisors is an integer number (745080).

Almost surely, 2^14400820 is an apocalyptic number.

14400820 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 14400820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881920).

14400820 is an abundant number, since it is smaller than the sum of its proper divisors (21363020).

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

14400820 is a wasteful number, since it uses less digits than its factorization.

14400820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 14400820 is about 3794.8412351507. The cubic root of 14400820 is about 243.2926977035.

The spelling of 14400820 in words is "fourteen million, four hundred thousand, eight hundred twenty".