506330409 has 32 divisors (see below), whose sum is σ = 760904704. Its totient is φ = 297354240.

The previous prime is 506330399. The next prime is 506330413. The reversal of 506330409 is 904033605.

It is a happy number.

It is not a de Polignac number, because 506330409 - 2⁴ = 506330393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506330609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85389 + ... + 91125.

It is an arithmetic number, because the mean of its divisors is an integer number (23778272).

Almost surely, 2^506330409 is an apocalyptic number.

It is an amenable number.

506330409 is a deficient number, since it is larger than the sum of its proper divisors (254574295).

506330409 is a wasteful number, since it uses less digits than its factorization.

506330409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 506330409 is about 22501.7867957191. The cubic root of 506330409 is about 797.0361208570.

The spelling of 506330409 in words is "five hundred six million, three hundred thirty thousand, four hundred nine".