13854456 has 256 divisors, whose sum is σ = 51840000. Its totient is φ = 3386880.

The previous prime is 13854403. The next prime is 13854457. The reversal of 13854456 is 65445831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime divisors (40).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 13854456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13854457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814960 + ... + 814976.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

Almost surely, 2^13854456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13854456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920000).

13854456 is an abundant number, since it is smaller than the sum of its proper divisors (37985544).

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

13854456 is a wasteful number, since it uses less digits than its factorization.

13854456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 13854456 is about 3722.1574389056. The cubic root of 13854456 is about 240.1761207246.

The spelling of 13854456 in words is "thirteen million, eight hundred fifty-four thousand, four hundred fifty-six".