413075 has 24 divisors (see below), whose sum is σ = 583296. Its totient is φ = 288000.

The previous prime is 413071. The next prime is 413081. The reversal of 413075 is 570314.

413075 = 15² + 16² + ... + 107².

It is a happy number.

413075 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 413075 - 2² = 413071 is a prime.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (413071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10055 + ... + 10095.

It is an arithmetic number, because the mean of its divisors is an integer number (24304).

2⁴¹³⁰⁷⁵ is an apocalyptic number.

413075 is a deficient number, since it is larger than the sum of its proper divisors (170221).

413075 is a wasteful number, since it uses less digits than its factorization.

413075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 413075 is about 642.7091099401. The cubic root of 413075 is about 74.4748500006.

Adding to 413075 its reverse (570314), we get a palindrome (983389).

The spelling of 413075 in words is "four hundred thirteen thousand, seventy-five".