509976 has 40 divisors (see below), whose sum is σ = 1430220. Its totient is φ = 169776.

The previous prime is 509963. The next prime is 509989. The reversal of 509976 is 679905.

It is an interprime number because it is at equal distance from previous prime (509963) and next prime (509989).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 509976.

It is a congruent number.

It is an unprimeable number.

509976 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 9 ways as a sum of consecutive naturals, for example, 255 + ... + 1041.

2⁵⁰⁹⁹⁷⁶ 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 509976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715110).

509976 is an abundant number, since it is smaller than the sum of its proper divisors (920244).

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

509976 is a wasteful number, since it uses less digits than its factorization.

509976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 509976 is about 714.1260392956. The cubic root of 509976 is about 79.8944441190.

It can be divided in two parts, 509 and 976, that added together give a triangular number (1485 = T₅₄).

The spelling of 509976 in words is "five hundred nine thousand, nine hundred seventy-six".