509240556 has 72 divisors (see below), whose sum is σ = 1420146000. Its totient is φ = 152570880.

The previous prime is 509240533. The next prime is 509240561. The reversal of 509240556 is 655042905.

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

It is a self number, because there is not a number n which added to its sum of digits gives 509240556.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28020 + ... + 42468.

It is an arithmetic number, because the mean of its divisors is an integer number (19724250).

Almost surely, 2^509240556 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 509240556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710073000).

509240556 is an abundant number, since it is smaller than the sum of its proper divisors (910905444).

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

509240556 is a wasteful number, since it uses less digits than its factorization.

509240556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14559 (or 14554 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 509240556 is about 22566.3589442338. The cubic root of 509240556 is about 798.5601998573.

It can be divided in two parts, 509240 and 556, that added together give a square (509796 = 714²).

The spelling of 509240556 in words is "five hundred nine million, two hundred forty thousand, five hundred fifty-six".