413073 has 8 divisors (see below), whose sum is σ = 612000. Its totient is φ = 275364.

The previous prime is 413071. The next prime is 413081. The reversal of 413073 is 370314.

It is not a de Polignac number, because 413073 - 2¹ = 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 7 ways as a sum of consecutive naturals, for example, 7623 + ... + 7676.

It is an arithmetic number, because the mean of its divisors is an integer number (76500).

2⁴¹³⁰⁷³ is an apocalyptic number.

It is an amenable number.

413073 is a deficient number, since it is larger than the sum of its proper divisors (198927).

413073 is a wasteful number, since it uses less digits than its factorization.

413073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15308 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 413073 is about 642.7075540244. The cubic root of 413073 is about 74.4747298045.

Adding to 413073 its reverse (370314), we get a palindrome (783387).

The spelling of 413073 in words is "four hundred thirteen thousand, seventy-three".