461890 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 138240.

The previous prime is 461887. The next prime is 461891. The reversal of 461890 is 98164.

It is not an unprimeable number, because it can be changed into a prime (461891) 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 31 ways as a sum of consecutive naturals, for example, 24301 + ... + 24319.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁴⁶¹⁸⁹⁰ is an apocalyptic number.

461890 is an abundant number, since it is smaller than the sum of its proper divisors (626750).

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

461890 is a wasteful number, since it uses less digits than its factorization.

461890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 461890 is about 679.6248965422. The cubic root of 461890 is about 77.3000046302.

It can be divided in two parts, 46 and 1890, that added together give a square (1936 = 44²).

The spelling of 461890 in words is "four hundred sixty-one thousand, eight hundred ninety".