13924400 has 60 divisors (see below), whose sum is σ = 38240112. Its totient is φ = 4773120.

The previous prime is 13924381. The next prime is 13924429. The reversal of 13924400 is 442931.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314 + ... + 5286.

Almost surely, 2^13924400 is an apocalyptic number.

13924400 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 13924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19120056).

13924400 is an abundant number, since it is smaller than the sum of its proper divisors (24315712).

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

13924400 is a wasteful number, since it uses less digits than its factorization.

13924400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 13924400 is about 3731.5412365402. The cubic root of 13924400 is about 240.5796175728.

It can be divided in two parts, 13924 and 400, that multiplied together give a square (5569600 = 2360²).

The spelling of 13924400 in words is "thirteen million, nine hundred twenty-four thousand, four hundred".