461953 has 4 divisors (see below), whose sum is σ = 469588. Its totient is φ = 454320.

The previous prime is 461933. The next prime is 461957. The reversal of 461953 is 359164.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 199809 = 512^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 461953 - 2⁵ = 461921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461957) 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 3 ways as a sum of consecutive naturals, for example, 3726 + ... + 3847.

It is an arithmetic number, because the mean of its divisors is an integer number (117397).

2⁴⁶¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

461953 is a deficient number, since it is larger than the sum of its proper divisors (7635).

461953 is an equidigital number, since it uses as much as digits as its factorization.

461953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634.

The product of its digits is 3240, while the sum is 28.

The square root of 461953 is about 679.6712440585. The cubic root of 461953 is about 77.3035189438.

The spelling of 461953 in words is "four hundred sixty-one thousand, nine hundred fifty-three".