510496 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 209664.

The previous prime is 510481. The next prime is 510529. The reversal of 510496 is 694015.

It is a self number, because there is not a number n which added to its sum of digits gives 510496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9606 + ... + 9658.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2⁵¹⁰⁴⁹⁶ is an apocalyptic number.

510496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

510496 is an abundant number, since it is smaller than the sum of its proper divisors (687008).

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

510496 is a wasteful number, since it uses less digits than its factorization.

510496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 510496 is about 714.4900279220. The cubic root of 510496 is about 79.9215898399.

It can be divided in two parts, 5104 and 96, that multiplied together give a palindrome (489984).

The spelling of 510496 in words is "five hundred ten thousand, four hundred ninety-six".