16449840 has 240 divisors, whose sum is σ = 63138816. Its totient is φ = 3801600.

The previous prime is 16449833. The next prime is 16449841. The reversal of 16449840 is 4894461.

It is a happy number.

16449840 is a `hidden beast` number, since 1 + 644 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 16449795 and 16449804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16449841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245487 + ... + 245553.

Almost surely, 2^16449840 is an apocalyptic number.

16449840 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 16449840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31569408).

16449840 is an abundant number, since it is smaller than the sum of its proper divisors (46688976).

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

16449840 is a wasteful number, since it uses less digits than its factorization.

16449840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16449840 is about 4055.8402335398. The cubic root of 16449840 is about 254.3239300269.

The spelling of 16449840 in words is "sixteen million, four hundred forty-nine thousand, eight hundred forty".