461960 has 16 divisors (see below), whose sum is σ = 1039500. Its totient is φ = 184768.

The previous prime is 461957. The next prime is 461971. The reversal of 461960 is 69164.

It can be written as a sum of positive squares in 2 ways, for example, as 438244 + 23716 = 662^2 + 154^2 .

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, 5735 + ... + 5814.

2⁴⁶¹⁹⁶⁰ is an apocalyptic number.

461960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461960 is an abundant number, since it is smaller than the sum of its proper divisors (577540).

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

461960 is a wasteful number, since it uses less digits than its factorization.

461960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560 (or 11556 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 461960 is about 679.6763935874. The cubic root of 461960 is about 77.3039094033.

It can be divided in two parts, 4619 and 60, that multiplied together give a triangular number (277140 = T₇₄₄).

The spelling of 461960 in words is "four hundred sixty-one thousand, nine hundred sixty".