16413040 has 120 divisors (see below), whose sum is σ = 45800640. Its totient is φ = 5451264.

The previous prime is 16413037. The next prime is 16413049. The reversal of 16413040 is 4031461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16412999 and 16413017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16413049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207721 + ... + 207799.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 2^16413040 is an apocalyptic number.

16413040 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 16413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900320).

16413040 is an abundant number, since it is smaller than the sum of its proper divisors (29387600).

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

16413040 is a wasteful number, since it uses less digits than its factorization.

16413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 16413040 is about 4051.3010255966. The cubic root of 16413040 is about 254.1341387499.

The spelling of 16413040 in words is "sixteen million, four hundred thirteen thousand, forty".