509242776 has 64 divisors (see below), whose sum is σ = 1463105280. Its totient is φ = 144685440.

The previous prime is 509242771. The next prime is 509242777. The reversal of 509242776 is 677242905.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509242771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22035 + ... + 38781.

It is an arithmetic number, because the mean of its divisors is an integer number (22861020).

Almost surely, 2^509242776 is an apocalyptic number.

509242776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509242776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731552640).

509242776 is an abundant number, since it is smaller than the sum of its proper divisors (953862504).

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

509242776 is a wasteful number, since it uses less digits than its factorization.

509242776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16944 (or 16940 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 509242776 is about 22566.4081324432. The cubic root of 509242776 is about 798.5613602788.

The spelling of 509242776 in words is "five hundred nine million, two hundred forty-two thousand, seven hundred seventy-six".