461307 has 16 divisors (see below), whose sum is σ = 767232. Its totient is φ = 239520.

The previous prime is 461299. The next prime is 461309. The reversal of 461307 is 703164.

It is not a de Polignac number, because 461307 - 2³ = 461299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461307.

It is not an unprimeable number, because it can be changed into a prime (461309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (47952).

2⁴⁶¹³⁰⁷ is an apocalyptic number.

461307 is a deficient number, since it is larger than the sum of its proper divisors (305925).

461307 is a wasteful number, since it uses less digits than its factorization.

461307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 461307 is about 679.1958480438. The cubic root of 461307 is about 77.2674681122.

The spelling of 461307 in words is "four hundred sixty-one thousand, three hundred seven".