413084151 has 16 divisors (see below), whose sum is σ = 620362720. Its totient is φ = 271615680.

The previous prime is 413084141. The next prime is 413084159. The reversal of 413084151 is 151480314.

It is a happy number.

It is not a de Polignac number, because 413084151 - 2¹⁰ = 413083127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413084159) 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, 102820 + ... + 106761.

It is an arithmetic number, because the mean of its divisors is an integer number (38772670).

Almost surely, 2^413084151 is an apocalyptic number.

413084151 is a deficient number, since it is larger than the sum of its proper divisors (207278569).

413084151 is a wasteful number, since it uses less digits than its factorization.

413084151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209663 (or 209657 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 413084151 is about 20324.4717274521. The cubic root of 413084151 is about 744.7539995262.

The spelling of 413084151 in words is "four hundred thirteen million, eighty-four thousand, one hundred fifty-one".