460520 has 32 divisors (see below), whose sum is σ = 1074600. Its totient is φ = 177408.

The previous prime is 460477. The next prime is 460531. The reversal of 460520 is 25064.

It can be written as a sum of positive squares in 4 ways, for example, as 401956 + 58564 = 634^2 + 242^2 .

It is an unprimeable number.

460520 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 7 ways as a sum of consecutive naturals, for example, 962 + ... + 1358.

2⁴⁶⁰⁵²⁰ is an apocalyptic number.

460520 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 460520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537300).

460520 is an abundant number, since it is smaller than the sum of its proper divisors (614080).

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

460520 is a wasteful number, since it uses less digits than its factorization.

460520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 460520 is about 678.6162391219. The cubic root of 460520 is about 77.2235030947.

Adding to 460520 its reverse (25064), we get a palindrome (485584).

The spelling of 460520 in words is "four hundred sixty thousand, five hundred twenty".