461968 has 20 divisors (see below), whose sum is σ = 964348. Its totient is φ = 213120.

The previous prime is 461957. The next prime is 461971. The reversal of 461968 is 869164.

It can be written as a sum of positive squares in 2 ways, for example, as 183184 + 278784 = 428^2 + 528^2 .

It is an unprimeable number.

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, 903 + ... + 1318.

2⁴⁶¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

461968 is an abundant number, since it is smaller than the sum of its proper divisors (502380).

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

461968 is a wasteful number, since it uses less digits than its factorization.

461968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2236 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 461968 is about 679.6822787156. The cubic root of 461968 is about 77.3043556380.

The spelling of 461968 in words is "four hundred sixty-one thousand, nine hundred sixty-eight".