14382900 has 144 divisors (see below), whose sum is σ = 52913280. Its totient is φ = 3283200.

The previous prime is 14382871. The next prime is 14382911. The reversal of 14382900 is 928341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18520 + ... + 19280.

Almost surely, 2^14382900 is an apocalyptic number.

14382900 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 14382900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456640).

14382900 is an abundant number, since it is smaller than the sum of its proper divisors (38530380).

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

14382900 is a wasteful number, since it uses less digits than its factorization.

14382900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14382900 is about 3792.4794000759. The cubic root of 14382900 is about 243.1917401468.

The spelling of 14382900 in words is "fourteen million, three hundred eighty-two thousand, nine hundred".