413083497 has 16 divisors (see below), whose sum is σ = 555808448. Its totient is φ = 272885760.

The previous prime is 413083469. The next prime is 413083529. The reversal of 413083497 is 794380314.

It is not a de Polignac number, because 413083497 - 2¹⁹ = 412559209 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413083417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162597 + ... + 165117.

It is an arithmetic number, because the mean of its divisors is an integer number (34738028).

Almost surely, 2^413083497 is an apocalyptic number.

It is an amenable number.

413083497 is a deficient number, since it is larger than the sum of its proper divisors (142724951).

413083497 is a wasteful number, since it uses less digits than its factorization.

413083497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 413083497 is about 20324.4556384667. The cubic root of 413083497 is about 744.7536064914.

The spelling of 413083497 in words is "four hundred thirteen million, eighty-three thousand, four hundred ninety-seven".