509676048 has 240 divisors, whose sum is σ = 1764172800. Its totient is φ = 136829952.

The previous prime is 509676047. The next prime is 509676049. The reversal of 509676048 is 840676905.

It is an interprime number because it is at equal distance from previous prime (509676047) and next prime (509676049).

It is a junction number, because it is equal to n+sod(n) for n = 509675994 and 509676012.

It is not an unprimeable number, because it can be changed into a prime (509676047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839361 + ... + 839967.

It is an arithmetic number, because the mean of its divisors is an integer number (7350720).

Almost surely, 2^509676048 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 509676048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882086400).

509676048 is an abundant number, since it is smaller than the sum of its proper divisors (1254496752).

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

509676048 is a wasteful number, since it uses less digits than its factorization.

509676048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 509676048 is about 22576.0060240956. The cubic root of 509676048 is about 798.7877723914.

The spelling of 509676048 in words is "five hundred nine million, six hundred seventy-six thousand, forty-eight".