413526 has 16 divisors (see below), whose sum is σ = 847728. Its totient is φ = 134480.

The previous prime is 413521. The next prime is 413527. The reversal of 413526 is 625314.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413526.

It is not an unprimeable number, because it can be changed into a prime (413521) by changing a digit.

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, 10066 + ... + 10106.

It is an arithmetic number, because the mean of its divisors is an integer number (52983).

413526 is a Friedman number, since it can be written as 6*(21+5*4)^3, using all its digits and the basic arithmetic operations.

2⁴¹³⁵²⁶ is an apocalyptic number.

413526 is an abundant number, since it is smaller than the sum of its proper divisors (434202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413526 is an frugal number, since it uses more digits than its factorization.

413526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 46 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 413526 is about 643.0598727957. The cubic root of 413526 is about 74.5019443061.

It can be divided in two parts, 413 and 526, that added together give a palindrome (939).

The spelling of 413526 in words is "four hundred thirteen thousand, five hundred twenty-six".