413461413 has 12 divisors (see below), whose sum is σ = 628655040. Its totient is φ = 261133416.

The previous prime is 413461393. The next prime is 413461417. The reversal of 413461413 is 314164314.

413461413 is a `hidden beast` number, since 4 + 1 + 34 + 614 + 13 = 666.

It is not a de Polignac number, because 413461413 - 2¹⁴ = 413445029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413461417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1208781 + ... + 1209122.

It is an arithmetic number, because the mean of its divisors is an integer number (52387920).

Almost surely, 2^413461413 is an apocalyptic number.

It is an amenable number.

413461413 is a deficient number, since it is larger than the sum of its proper divisors (215193627).

413461413 is a wasteful number, since it uses less digits than its factorization.

413461413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417928 (or 2417925 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 413461413 is about 20333.7505886150. The cubic root of 413461413 is about 744.9806538225.

The spelling of 413461413 in words is "four hundred thirteen million, four hundred sixty-one thousand, four hundred thirteen".