460845 has 72 divisors (see below), whose sum is σ = 1067040. Its totient is φ = 181440.

The previous prime is 460843. The next prime is 460871. The reversal of 460845 is 548064.

It is not a de Polignac number, because 460845 - 2¹ = 460843 is a prime.

It is a super-2 number, since 2×460845² = 424756228050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24246 + ... + 24264.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2⁴⁶⁰⁸⁴⁵ is an apocalyptic number.

460845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460845 is an abundant number, since it is smaller than the sum of its proper divisors (606195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460845 is a wasteful number, since it uses less digits than its factorization.

460845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 460845 is about 678.8556547603. The cubic root of 460845 is about 77.2416649819.

The spelling of 460845 in words is "four hundred sixty thousand, eight hundred forty-five".