509774112 has 72 divisors (see below), whose sum is σ = 1453181184. Its totient is φ = 169513344.

The previous prime is 509774077. The next prime is 509774113. The reversal of 509774112 is 211477905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (509774113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 131433 + ... + 135255.

It is an arithmetic number, because the mean of its divisors is an integer number (20183072).

Almost surely, 2^509774112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726590592).

509774112 is an abundant number, since it is smaller than the sum of its proper divisors (943407072).

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

509774112 is a wasteful number, since it uses less digits than its factorization.

509774112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 509774112 is about 22578.1777829833. The cubic root of 509774112 is about 798.8389992450.

The spelling of 509774112 in words is "five hundred nine million, seven hundred seventy-four thousand, one hundred twelve".