462891 has 24 divisors (see below), whose sum is σ = 737856. Its totient is φ = 255840.

The previous prime is 462887. The next prime is 462899. The reversal of 462891 is 198264.

It is not a de Polignac number, because 462891 - 2² = 462887 is a prime.

462891 is a modest number, since divided by 891 gives 462 as remainder.

It is not an unprimeable number, because it can be changed into a prime (462899) 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, 5536 + ... + 5618.

It is an arithmetic number, because the mean of its divisors is an integer number (30744).

2⁴⁶²⁸⁹¹ is an apocalyptic number.

462891 is a deficient number, since it is larger than the sum of its proper divisors (274965).

462891 is a wasteful number, since it uses less digits than its factorization.

462891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 462891 is about 680.3609336227. The cubic root of 462891 is about 77.3558054160.

The spelling of 462891 in words is "four hundred sixty-two thousand, eight hundred ninety-one".