13849440 has 192 divisors, whose sum is σ = 49496832. Its totient is φ = 3225600.

The previous prime is 13849421. The next prime is 13849453. The reversal of 13849440 is 4494831.

13849440 = T₇₈₁ + T₇₈₂ + ... + T₈₂₃.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 227010 + ... + 227070.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^13849440 is an apocalyptic number.

13849440 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 13849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

13849440 is an abundant number, since it is smaller than the sum of its proper divisors (35647392).

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

13849440 is a wasteful number, since it uses less digits than its factorization.

13849440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13849440 is about 3721.4835751351. The cubic root of 13849440 is about 240.1471320045.

The spelling of 13849440 in words is "thirteen million, eight hundred forty-nine thousand, four hundred forty".