509775630 has 256 divisors, whose sum is σ = 1602478080. Its totient is φ = 100896768.

The previous prime is 509775613. The next prime is 509775631. The reversal of 509775630 is 36577905.

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 (509775631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3720922 + ... + 3721058.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2^509775630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509775630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801239040).

509775630 is an abundant number, since it is smaller than the sum of its proper divisors (1092702450).

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

509775630 is a wasteful number, since it uses less digits than its factorization.

509775630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 509775630 is about 22578.2113994887. The cubic root of 509775630 is about 798.8397921690.

The spelling of 509775630 in words is "five hundred nine million, seven hundred seventy-five thousand, six hundred thirty".