460920 has 64 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 116864.

The previous prime is 460919. The next prime is 460937. The reversal of 460920 is 29064.

460920 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 9.

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, 2677 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁶⁰⁹²⁰ is an apocalyptic number.

460920 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 460920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

460920 is an abundant number, since it is smaller than the sum of its proper divisors (990600).

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

460920 is a wasteful number, since it uses less digits than its factorization.

460920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 460920 is about 678.9108925330. The cubic root of 460920 is about 77.2458549739.

Adding to 460920 its reverse (29064), we get a palindrome (489984).

The spelling of 460920 in words is "four hundred sixty thousand, nine hundred twenty".