13846400 has 48 divisors (see below), whose sum is σ = 34212840. Its totient is φ = 5537280.

The previous prime is 13846363. The next prime is 13846403. The reversal of 13846400 is 464831.

It is a self number, because there is not a number n which added to its sum of digits gives 13846400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13846403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1037 + ... + 5363.

Almost surely, 2^13846400 is an apocalyptic number.

13846400 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 13846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106420).

13846400 is an abundant number, since it is smaller than the sum of its proper divisors (20366440).

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

13846400 is an equidigital number, since it uses as much as digits as its factorization.

13846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13846400 is about 3721.0751134585. The cubic root of 13846400 is about 240.1295596766.

The spelling of 13846400 in words is "thirteen million, eight hundred forty-six thousand, four hundred".