462353313 has 32 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 291847680.

The previous prime is 462353299. The next prime is 462353321. The reversal of 462353313 is 313353264.

It is not a de Polignac number, because 462353313 - 2²⁰ = 461304737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (462353363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965008 + ... + 965486.

It is an arithmetic number, because the mean of its divisors is an integer number (20321280).

Almost surely, 2^462353313 is an apocalyptic number.

It is an amenable number.

462353313 is a deficient number, since it is larger than the sum of its proper divisors (187927647).

462353313 is a wasteful number, since it uses less digits than its factorization.

462353313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its digits is 19440, while the sum is 30.

The square root of 462353313 is about 21502.4024936750. The cubic root of 462353313 is about 773.2584204378.

The spelling of 462353313 in words is "four hundred sixty-two million, three hundred fifty-three thousand, three hundred thirteen".