509460500 has 96 divisors (see below), whose sum is σ = 1147281408. Its totient is φ = 197568000.

The previous prime is 509460481. The next prime is 509460521. The reversal of 509460500 is 5064905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4011437 + ... + 4011563.

It is an arithmetic number, because the mean of its divisors is an integer number (11950848).

Almost surely, 2^509460500 is an apocalyptic number.

509460500 is a gapful number since it is divisible by the number (50) 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 509460500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573640704).

509460500 is an abundant number, since it is smaller than the sum of its proper divisors (637820908).

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

509460500 is a wasteful number, since it uses less digits than its factorization.

509460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 509460500 is about 22571.2316899189. The cubic root of 509460500 is about 798.6751509298.

The spelling of 509460500 in words is "five hundred nine million, four hundred sixty thousand, five hundred".