509406612 has 72 divisors (see below), whose sum is σ = 1407046368. Its totient is φ = 142486080.

The previous prime is 509406593. The next prime is 509406617. The reversal of 509406612 is 216604905.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509406617) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5383 + ... + 32369.

Almost surely, 2^509406612 is an apocalyptic number.

509406612 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 509406612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703523184).

509406612 is an abundant number, since it is smaller than the sum of its proper divisors (897639756).

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

509406612 is a wasteful number, since it uses less digits than its factorization.

509406612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27029 (or 27016 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 509406612 is about 22570.0379264192. The cubic root of 509406612 is about 798.6469900786.

The spelling of 509406612 in words is "five hundred nine million, four hundred six thousand, six hundred twelve".