461120 has 56 divisors (see below), whose sum is σ = 1207008. Its totient is φ = 166400.

The previous prime is 461119. The next prime is 461143. The reversal of 461120 is 21164.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 461095 and 461104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3455 + ... + 3585.

2⁴⁶¹¹²⁰ is an apocalyptic number.

461120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603504).

461120 is an abundant number, since it is smaller than the sum of its proper divisors (745888).

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

461120 is a wasteful number, since it uses less digits than its factorization.

461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 461120 is about 679.0581712932. The cubic root of 461120 is about 77.2570260643.

Adding to 461120 its reverse (21164), we get a palindrome (482284).

The spelling of 461120 in words is "four hundred sixty-one thousand, one hundred twenty".