509950 has 48 divisors (see below), whose sum is σ = 1142784. Its totient is φ = 165600.

The previous prime is 509947. The next prime is 509959. The reversal of 509950 is 59905.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10827 + ... + 10873.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁵⁰⁹⁹⁵⁰ is an apocalyptic number.

509950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

509950 is an abundant number, since it is smaller than the sum of its proper divisors (632834).

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

509950 is a wasteful number, since it uses less digits than its factorization.

509950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 509950 is about 714.1078349941. The cubic root of 509950 is about 79.8930863487.

It can be divided in two parts, 50 and 9950, that added together give a 4-th power (10000 = 10⁴).

The spelling of 509950 in words is "five hundred nine thousand, nine hundred fifty".