461820 has 48 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 119616.

The previous prime is 461819. The next prime is 461843. The reversal of 461820 is 28164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2491 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁴⁶¹⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

461820 is an abundant number, since it is smaller than the sum of its proper divisors (868740).

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

461820 is a wasteful number, since it uses less digits than its factorization.

461820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 461820 is about 679.5733955946. The cubic root of 461820 is about 77.2960994625.

Adding to 461820 its reverse (28164), we get a palindrome (489984).

The spelling of 461820 in words is "four hundred sixty-one thousand, eight hundred twenty".