413569 has 8 divisors (see below), whose sum is σ = 461160. Its totient is φ = 368256.

The previous prime is 413557. The next prime is 413579. The reversal of 413569 is 965314.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 409600 = 63^2 + 640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413569 - 2⁵ = 413537 is a prime.

It is a super-2 number, since 2×413569² = 342078635522, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

413569 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (413579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (57645).

2⁴¹³⁵⁶⁹ is an apocalyptic number.

It is an amenable number.

413569 is a deficient number, since it is larger than the sum of its proper divisors (47591).

413569 is a wasteful number, since it uses less digits than its factorization.

413569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139.

The product of its digits is 3240, while the sum is 28.

The square root of 413569 is about 643.0933058274. The cubic root of 413569 is about 74.5045265481.

The spelling of 413569 in words is "four hundred thirteen thousand, five hundred sixty-nine".