509014272 has 144 divisors (see below), whose sum is σ = 1545264000. Its totient is φ = 147357696.

The previous prime is 509014249. The next prime is 509014273. The reversal of 509014272 is 272410905.

It is not an unprimeable number, because it can be changed into a prime (509014273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 168229 + ... + 171227.

It is an arithmetic number, because the mean of its divisors is an integer number (10731000).

Almost surely, 2^509014272 is an apocalyptic number.

509014272 is a gapful number since it is divisible by the number (52) 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 509014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772632000).

509014272 is an abundant number, since it is smaller than the sum of its proper divisors (1036249728).

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

509014272 is a wasteful number, since it uses less digits than its factorization.

509014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 509014272 is about 22561.3446407788. The cubic root of 509014272 is about 798.4419007117.

The spelling of 509014272 in words is "five hundred nine million, fourteen thousand, two hundred seventy-two".