461948 has 12 divisors (see below), whose sum is σ = 824040. Its totient is φ = 226512.

The previous prime is 461933. The next prime is 461957. The reversal of 461948 is 849164.

461948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461948.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (68670).

2⁴⁶¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

461948 is a deficient number, since it is larger than the sum of its proper divisors (362092).

461948 is a wasteful number, since it uses less digits than its factorization.

461948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2234 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 461948 is about 679.6675657996. The cubic root of 461948 is about 77.3032400417.

The spelling of 461948 in words is "four hundred sixty-one thousand, nine hundred forty-eight".