509471200 has 72 divisors (see below), whose sum is σ = 1421440272. Its totient is φ = 174673920.

The previous prime is 509471189. The next prime is 509471227. The reversal of 509471200 is 2174905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39889 + ... + 51088.

It is an arithmetic number, because the mean of its divisors is an integer number (19742226).

Almost surely, 2^509471200 is an apocalyptic number.

509471200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509471200 is an abundant number, since it is smaller than the sum of its proper divisors (911969072).

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

509471200 is a wasteful number, since it uses less digits than its factorization.

509471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91004 (or 90991 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 509471200 is about 22571.4687160583. The cubic root of 509471200 is about 798.6807423115.

The spelling of 509471200 in words is "five hundred nine million, four hundred seventy-one thousand, two hundred".