509442060 has 192 divisors, whose sum is σ = 1612154880. Its totient is φ = 119439360.

The previous prime is 509442053. The next prime is 509442061. The reversal of 509442060 is 60244905.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (509442061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1879725 + ... + 1879995.

It is an arithmetic number, because the mean of its divisors is an integer number (8396640).

Almost surely, 2^509442060 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 509442060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806077440).

509442060 is an abundant number, since it is smaller than the sum of its proper divisors (1102712820).

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

509442060 is a wasteful number, since it uses less digits than its factorization.

509442060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 509442060 is about 22570.8232016469. The cubic root of 509442060 is about 798.6655147575.

Adding to 509442060 its reverse (60244905), we get a palindrome (569686965).

The spelling of 509442060 in words is "five hundred nine million, four hundred forty-two thousand, sixty".