413496 has 24 divisors (see below), whose sum is σ = 1120080. Its totient is φ = 137808.

The previous prime is 413477. The next prime is 413521. The reversal of 413496 is 694314.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

413496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2800 + ... + 2943.

It is an arithmetic number, because the mean of its divisors is an integer number (46670).

413496 is a Friedman number, since it can be written as 6*(41^3-9+4), using all its digits and the basic arithmetic operations.

2⁴¹³⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

413496 is an abundant number, since it is smaller than the sum of its proper divisors (706584).

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

413496 is a wasteful number, since it uses less digits than its factorization.

413496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5748 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 413496 is about 643.0365463953. The cubic root of 413496 is about 74.5001426359.

It can be divided in two parts, 413 and 496, that added together give a palindrome (909).

The spelling of 413496 in words is "four hundred thirteen thousand, four hundred ninety-six".