13982400 has 126 divisors (see below), whose sum is σ = 49747932. Its totient is φ = 3724800.

The previous prime is 13982399. The next prime is 13982401. The reversal of 13982400 is 428931.

It is an interprime number because it is at equal distance from previous prime (13982399) and next prime (13982401).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13982401) 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 17 ways as a sum of consecutive naturals, for example, 13915 + ... + 14885.

It is a vampire number, since it can be written as 2913 ⋅ 4800 (with its own digits).

Almost surely, 2^13982400 is an apocalyptic number.

13982400 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 13982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873966).

13982400 is an abundant number, since it is smaller than the sum of its proper divisors (35765532).

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

13982400 is a wasteful number, since it uses less digits than its factorization.

13982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 981 counting only the distinct ones).

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

The square root of 13982400 is about 3739.3047482119. The cubic root of 13982400 is about 240.9131876279.

The spelling of 13982400 in words is "thirteen million, nine hundred eighty-two thousand, four hundred".