507840 has 84 divisors (see below), whose sum is σ = 1685544. Its totient is φ = 129536.

The previous prime is 507839. The next prime is 507883. The reversal of 507840 is 48705.

507840 = T₁₂₅ + T₁₂₆ + ... + T₁₇₀.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 507840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22069 + ... + 22091.

It is an arithmetic number, because the mean of its divisors is an integer number (20066).

2⁵⁰⁷⁸⁴⁰ 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 507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842772).

507840 is an abundant number, since it is smaller than the sum of its proper divisors (1177704).

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

507840 is a wasteful number, since it uses less digits than its factorization.

507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 507840 is about 712.6289357022. The cubic root of 507840 is about 79.7827438646.

The spelling of 507840 in words is "five hundred seven thousand, eight hundred forty".