506460 has 48 divisors (see below), whose sum is σ = 1483776. Its totient is φ = 128832.

The previous prime is 506459. The next prime is 506461. The reversal of 506460 is 64605.

It is an interprime number because it is at equal distance from previous prime (506459) and next prime (506461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (30912).

2⁵⁰⁶⁴⁶⁰ 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 506460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741888).

506460 is an abundant number, since it is smaller than the sum of its proper divisors (977316).

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

506460 is a wasteful number, since it uses less digits than its factorization.

506460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 506460 is about 711.6600311947. The cubic root of 506460 is about 79.7104113282.

The spelling of 506460 in words is "five hundred six thousand, four hundred sixty".