460881 has 12 divisors (see below), whose sum is σ = 682500. Its totient is φ = 299520.

The previous prime is 460871. The next prime is 460891. The reversal of 460881 is 188064.

It is an interprime number because it is at equal distance from previous prime (460871) and next prime (460891).

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 370881 = 300^2 + 609^2 .

It is not a de Polignac number, because 460881 - 2¹³ = 452689 is a prime.

It is a super-2 number, since 2×460881² = 424822592322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (56875).

2⁴⁶⁰⁸⁸¹ is an apocalyptic number.

460881 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

460881 is a deficient number, since it is larger than the sum of its proper divisors (221619).

460881 is a wasteful number, since it uses less digits than its factorization.

460881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 460881 is about 678.8821694521. The cubic root of 460881 is about 77.2436762348.

It can be divided in two parts, 4608 and 81, that multiplied together give a cube (373248 = 72³).

The spelling of 460881 in words is "four hundred sixty thousand, eight hundred eighty-one".