509775904 has 108 divisors (see below), whose sum is σ = 1148207886. Its totient is φ = 222604800.

The previous prime is 509775881. The next prime is 509775907. The reversal of 509775904 is 409577905.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 418611600 + 91164304 = 20460^2 + 9548^2 .

It is not an unprimeable number, because it can be changed into a prime (509775907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3720924 + ... + 3721060.

Almost surely, 2^509775904 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 509775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574103943).

509775904 is an abundant number, since it is smaller than the sum of its proper divisors (638431982).

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

509775904 is a wasteful number, since it uses less digits than its factorization.

509775904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 509775904 is about 22578.2174672847. The cubic root of 509775904 is about 798.8399352921.

The spelling of 509775904 in words is "five hundred nine million, seven hundred seventy-five thousand, nine hundred four".