501540 has 48 divisors (see below), whose sum is σ = 1514688. Its totient is φ = 123264.

The previous prime is 501511. The next prime is 501563. The reversal of 501540 is 45105.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

501540 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 15 ways as a sum of consecutive naturals, for example, 459 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (31556).

2⁵⁰¹⁵⁴⁰ 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 501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757344).

501540 is an abundant number, since it is smaller than the sum of its proper divisors (1013148).

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

501540 is a wasteful number, since it uses less digits than its factorization.

501540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 501540 is about 708.1948884311. The cubic root of 501540 is about 79.4514556690.

Adding to 501540 its reverse (45105), we get a palindrome (546645).

The spelling of 501540 in words is "five hundred one thousand, five hundred forty".