413514 has 12 divisors (see below), whose sum is σ = 895986. Its totient is φ = 137832.

The previous prime is 413477. The next prime is 413521. The reversal of 413514 is 415314.

Added to its reverse (415314) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

413514 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 342225 + 71289 = 585^2 + 267^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 22973 = 413514 / (4 + 1 + 3 + 5 + 1 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11469 + ... + 11504.

2⁴¹³⁵¹⁴ is an apocalyptic number.

413514 is an abundant number, since it is smaller than the sum of its proper divisors (482472).

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

413514 is a wasteful number, since it uses less digits than its factorization.

413514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22981 (or 22978 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 413514 is about 643.0505423371. The cubic root of 413514 is about 74.5012236485.

Adding to 413514 its reverse (415314), we get a palindrome (828828).

The spelling of 413514 in words is "four hundred thirteen thousand, five hundred fourteen".