510040 has 32 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 198400.

The previous prime is 510031. The next prime is 510047. The reversal of 510040 is 40015.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 509999 and 510026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510047) by changing a digit.

510040 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, 1485 + ... + 1795.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁵¹⁰⁰⁴⁰ 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 510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

510040 is an abundant number, since it is smaller than the sum of its proper divisors (669320).

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

510040 is a wasteful number, since it uses less digits than its factorization.

510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 510040 is about 714.1708479069. The cubic root of 510040 is about 79.8977861263.

Adding to 510040 its reverse (40015), we get a palindrome (550055).

The spelling of 510040 in words is "five hundred ten thousand, forty".