14782900 has 72 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 5280000.

The previous prime is 14782891. The next prime is 14782909. The reversal of 14782900 is 928741.

It is an interprime number because it is at equal distance from previous prime (14782891) and next prime (14782909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14782909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97825 + ... + 97975.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^14782900 is an apocalyptic number.

14782900 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 14782900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

14782900 is an abundant number, since it is smaller than the sum of its proper divisors (20839820).

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

14782900 is a wasteful number, since it uses less digits than its factorization.

14782900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 14782900 is about 3844.8537033286. The cubic root of 14782900 is about 245.4256103398.

The spelling of 14782900 in words is "fourteen million, seven hundred eighty-two thousand, nine hundred".