461964 has 24 divisors (see below), whose sum is σ = 1089648. Its totient is φ = 152320.

The previous prime is 461957. The next prime is 461971. The reversal of 461964 is 469164.

461964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (461957) and next prime (461971).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504 + ... + 1784.

It is an arithmetic number, because the mean of its divisors is an integer number (45402).

2⁴⁶¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

461964 is an abundant number, since it is smaller than the sum of its proper divisors (627684).

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

461964 is a wasteful number, since it uses less digits than its factorization.

461964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 461964 is about 679.6793361579. The cubic root of 461964 is about 77.3041325213.

The spelling of 461964 in words is "four hundred sixty-one thousand, nine hundred sixty-four".