413464029 has 32 divisors (see below), whose sum is σ = 617103360. Its totient is φ = 244094400.

The previous prime is 413464001. The next prime is 413464057. The reversal of 413464029 is 920464314.

It is an interprime number because it is at equal distance from previous prime (413464001) and next prime (413464057).

It is not a de Polignac number, because 413464029 - 2¹³ = 413455837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413464729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416724 + ... + 417714.

It is an arithmetic number, because the mean of its divisors is an integer number (19284480).

Almost surely, 2^413464029 is an apocalyptic number.

It is an amenable number.

413464029 is a deficient number, since it is larger than the sum of its proper divisors (203639331).

413464029 is a wasteful number, since it uses less digits than its factorization.

413464029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 413464029 is about 20333.8149150621. The cubic root of 413464029 is about 744.9822250012.

The spelling of 413464029 in words is "four hundred thirteen million, four hundred sixty-four thousand, twenty-nine".