461880 has 48 divisors (see below), whose sum is σ = 1502280. Its totient is φ = 123072.

The previous prime is 461861. The next prime is 461887. The reversal of 461880 is 88164.

461880 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 not an unprimeable number, because it can be changed into a prime (461887) by changing a digit.

461880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282 + ... + 1001.

2⁴⁶¹⁸⁸⁰ is an apocalyptic number.

461880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461880 is an abundant number, since it is smaller than the sum of its proper divisors (1040400).

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

461880 is a wasteful number, since it uses less digits than its factorization.

461880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 461880 is about 679.6175395029. The cubic root of 461880 is about 77.2994467732.

The spelling of 461880 in words is "four hundred sixty-one thousand, eight hundred eighty".