480664393 has 24 divisors (see below), whose sum is σ = 550215680. Its totient is φ = 419126400.

The previous prime is 480664369. The next prime is 480664439. The reversal of 480664393 is 393466084.

It is not a de Polignac number, because 480664393 - 2¹³ = 480656201 is a prime.

It is a super-3 number, since 3×480664393³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480664313) 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, 475873 + ... + 476881.

Almost surely, 2^480664393 is an apocalyptic number.

It is an amenable number.

480664393 is a deficient number, since it is larger than the sum of its proper divisors (69551287).

480664393 is a wasteful number, since it uses less digits than its factorization.

480664393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The square root of 480664393 is about 21924.0596833707. The cubic root of 480664393 is about 783.3346131663.

The spelling of 480664393 in words is "four hundred eighty million, six hundred sixty-four thousand, three hundred ninety-three".