330407 has 12 divisors (see below), whose sum is σ = 419976. Its totient is φ = 257040.

The previous prime is 330389. The next prime is 330409. The reversal of 330407 is 704033.

It is not a de Polignac number, because 330407 - 2¹⁶ = 264871 is a prime.

It is a Duffinian number.

330407 is a modest number, since divided by 407 gives 330 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (34998).

2³³⁰⁴⁰⁷ is an apocalyptic number.

330407 is a deficient number, since it is larger than the sum of its proper divisors (89569).

330407 is a wasteful number, since it uses less digits than its factorization.

330407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 330407 is about 574.8104035245. The cubic root of 330407 is about 69.1326301464.

It can be divided in two parts, 330 and 407, that added together give a palindrome (737).

The spelling of 330407 in words is "three hundred thirty thousand, four hundred seven".