507540 has 48 divisors (see below), whose sum is σ = 1552320. Its totient is φ = 122880.

The previous prime is 507523. The next prime is 507557. The reversal of 507540 is 45705.

It is an interprime number because it is at equal distance from previous prime (507523) and next prime (507557).

It is a congruent number.

It is an unprimeable number.

507540 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, 276 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2⁵⁰⁷⁵⁴⁰ 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 507540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776160).

507540 is an abundant number, since it is smaller than the sum of its proper divisors (1044780).

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

507540 is a wasteful number, since it uses less digits than its factorization.

507540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 507540 is about 712.4184163818. The cubic root of 507540 is about 79.7670305574.

It can be divided in two parts, 5075 and 40, that added together give a palindrome (5115).

The spelling of 507540 in words is "five hundred seven thousand, five hundred forty".