509796 has 81 divisors (see below), whose sum is σ = 1592409. Its totient is φ = 137088.

The previous prime is 509783. The next prime is 509797. The reversal of 509796 is 697905.

509796 = T₄₉ + T₅₀ + ... + T₁₄₆.

The square root of 509796 is 714.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 112896 = 630^2 + 336^2 .

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

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 509796.

It is not an unprimeable number, because it can be changed into a prime (509797) by changing a digit.

509796 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29980 + ... + 29996.

2⁵⁰⁹⁷⁹⁶ is an apocalyptic number.

509796 is the 714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509796

509796 is an abundant number, since it is smaller than the sum of its proper divisors (1082613).

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

509796 is a wasteful number, since it uses less digits than its factorization.

509796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

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

The cubic root of 509796 is about 79.8850432242.

Multiplying 509796 by its sum of digits (36), we get a square (18352656 = 4284²).

509796 divided by its sum of digits (36) gives a square (14161 = 119²).

The spelling of 509796 in words is "five hundred nine thousand, seven hundred ninety-six".