413090 has 16 divisors (see below), whose sum is σ = 752760. Its totient is φ = 163200.

The previous prime is 413089. The next prime is 413093. The reversal of 413090 is 90314.

It can be written as a sum of positive squares in 4 ways, for example, as 410881 + 2209 = 641^2 + 47^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413090.

It is not an unprimeable number, because it can be changed into a prime (413093) 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, 806 + ... + 1214.

2⁴¹³⁰⁹⁰ is an apocalyptic number.

413090 is a deficient number, since it is larger than the sum of its proper divisors (339670).

413090 is a wasteful number, since it uses less digits than its factorization.

413090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 413090 is about 642.7207791880. The cubic root of 413090 is about 74.4757514585.

The spelling of 413090 in words is "four hundred thirteen thousand, ninety".