509547672 has 112 divisors (see below), whose sum is σ = 1468073880. Its totient is φ = 165628800.

The previous prime is 509547653. The next prime is 509547673. The reversal of 509547672 is 276745905.

509547672 is a `hidden beast` number, since 509 + 5 + 4 + 76 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509547673) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238047 + ... + 240177.

Almost surely, 2^509547672 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 509547672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734036940).

509547672 is an abundant number, since it is smaller than the sum of its proper divisors (958526208).

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

509547672 is a wasteful number, since it uses less digits than its factorization.

509547672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 509547672 is about 22573.1626494827. The cubic root of 509547672 is about 798.7207011669.

The spelling of 509547672 in words is "five hundred nine million, five hundred forty-seven thousand, six hundred seventy-two".