509796288 has 224 divisors, whose sum is σ = 1591787520. Its totient is φ = 159667200.

The previous prime is 509796283. The next prime is 509796299. The reversal of 509796288 is 882697905.

It is a happy number.

509796288 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 9 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509796283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4014081 + ... + 4014207.

Almost surely, 2^509796288 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 509796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795893760).

509796288 is an abundant number, since it is smaller than the sum of its proper divisors (1081991232).

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

509796288 is a wasteful number, since it uses less digits than its factorization.

509796288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 509796288 is about 22578.6688713042. The cubic root of 509796288 is about 798.8505826740.

The spelling of 509796288 in words is "five hundred nine million, seven hundred ninety-six thousand, two hundred eighty-eight".