413574 has 32 divisors (see below), whose sum is σ = 971520. Its totient is φ = 114912.

The previous prime is 413557. The next prime is 413579. The reversal of 413574 is 475314.

It is a nialpdrome in base 14.

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 413574.

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 15 ways as a sum of consecutive naturals, for example, 1692 + ... + 1920.

It is an arithmetic number, because the mean of its divisors is an integer number (30360).

2⁴¹³⁵⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485760).

413574 is an abundant number, since it is smaller than the sum of its proper divisors (557946).

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

413574 is a wasteful number, since it uses less digits than its factorization.

413574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its digits is 1680, while the sum is 24.

The square root of 413574 is about 643.0971932764. The cubic root of 413574 is about 74.5048267972.

Adding to 413574 its reverse (475314), we get a palindrome (888888).

The spelling of 413574 in words is "four hundred thirteen thousand, five hundred seventy-four".