413000016 has 80 divisors (see below), whose sum is σ = 1253461440. Its totient is φ = 115522560.

The previous prime is 412999987. The next prime is 413000053. The reversal of 413000016 is 610000314.

It is a junction number, because it is equal to n+sod(n) for n = 412999959 and 413000004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23221 + ... + 36948.

It is an arithmetic number, because the mean of its divisors is an integer number (15668268).

Almost surely, 2^413000016 is an apocalyptic number.

It is an amenable number.

413000016 is an abundant number, since it is smaller than the sum of its proper divisors (840461424).

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

413000016 is a wasteful number, since it uses less digits than its factorization.

413000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60204 (or 60198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413000016 is about 20322.4018265558. The cubic root of 413000016 is about 744.7034334513.

The spelling of 413000016 in words is "four hundred thirteen million, sixteen", and thus it is an aban number.