413485 has 8 divisors (see below), whose sum is σ = 508536. Its totient is φ = 322560.

The previous prime is 413477. The next prime is 413521. The reversal of 413485 is 584314.

It can be written as a sum of positive squares in 4 ways, for example, as 21609 + 391876 = 147^2 + 626^2 .

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

It is not a de Polignac number, because 413485 - 2³ = 413477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (63567).

2⁴¹³⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

413485 is a deficient number, since it is larger than the sum of its proper divisors (95051).

413485 is a wasteful number, since it uses less digits than its factorization.

413485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063.

The product of its digits is 1920, while the sum is 25.

The square root of 413485 is about 643.0279931698. The cubic root of 413485 is about 74.4994820017.

Adding to 413485 its reverse (584314), we get a palindrome (997799).

It can be divided in two parts, 413 and 485, that added together give a palindrome (898).

The spelling of 413485 in words is "four hundred thirteen thousand, four hundred eighty-five".