462132345 has 48 divisors (see below), whose sum is σ = 805842432. Its totient is φ = 225884160.

The previous prime is 462132289. The next prime is 462132367. The reversal of 462132345 is 543231264.

It is not a de Polignac number, because 462132345 - 2⁸ = 462132089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166489 + ... + 169241.

It is an arithmetic number, because the mean of its divisors is an integer number (16788384).

Almost surely, 2^462132345 is an apocalyptic number.

It is an amenable number.

462132345 is a deficient number, since it is larger than the sum of its proper divisors (343710087).

462132345 is a wasteful number, since it uses less digits than its factorization.

462132345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2811 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 462132345 is about 21497.2636630805. The cubic root of 462132345 is about 773.1352155286.

The spelling of 462132345 in words is "four hundred sixty-two million, one hundred thirty-two thousand, three hundred forty-five".