14400020 has 48 divisors (see below), whose sum is σ = 32831568. Its totient is φ = 5283840.

The previous prime is 14400019. The next prime is 14400059. The reversal of 14400020 is 2000441.

It can be written as a sum of positive squares in 8 ways, for example, as 126736 + 14273284 = 356^2 + 3778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14399974 and 14400010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13424 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (683991).

Almost surely, 2^14400020 is an apocalyptic number.

14400020 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 14400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16415784).

14400020 is an abundant number, since it is smaller than the sum of its proper divisors (18431548).

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

14400020 is a wasteful number, since it uses less digits than its factorization.

14400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 14400020 is about 3794.7358274325. The cubic root of 14400020 is about 243.2881924563.

Adding to 14400020 its reverse (2000441), we get a palindrome (16400461).

The spelling of 14400020 in words is "fourteen million, four hundred thousand, twenty".