509349060 has 240 divisors, whose sum is σ = 1766584512. Its totient is φ = 121824000.

The previous prime is 509349041. The next prime is 509349119. The reversal of 509349060 is 60943905.

509349060 is a `hidden beast` number, since 509 + 3 + 4 + 90 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1799679 + ... + 1799961.

Almost surely, 2^509349060 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 509349060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883292256).

509349060 is an abundant number, since it is smaller than the sum of its proper divisors (1257235452).

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

509349060 is a wasteful number, since it uses less digits than its factorization.

509349060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 509349060 is about 22568.7629257786. The cubic root of 509349060 is about 798.6169122968.

The spelling of 509349060 in words is "five hundred nine million, three hundred forty-nine thousand, sixty".