509452164 has 72 divisors (see below), whose sum is σ = 1434702360. Its totient is φ = 151345152.

The previous prime is 509452147. The next prime is 509452169. The reversal of 509452164 is 461254905.

It can be written as a sum of positive squares in 4 ways, for example, as 14745600 + 494706564 = 3840^2 + 22242^2 .

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 (509452169) 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, 5197 + ... + 32340.

Almost surely, 2^509452164 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 509452164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717351180).

509452164 is an abundant number, since it is smaller than the sum of its proper divisors (925250196).

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

509452164 is a wasteful number, since it uses less digits than its factorization.

509452164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37589 (or 37584 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 509452164 is about 22571.0470293250. The cubic root of 509452164 is about 798.6707948235.

The spelling of 509452164 in words is "five hundred nine million, four hundred fifty-two thousand, one hundred sixty-four".