509949648 has 80 divisors (see below), whose sum is σ = 1576357440. Its totient is φ = 156905856.

The previous prime is 509949647. The next prime is 509949667. The reversal of 509949648 is 846949905.

509949648 is a `hidden beast` number, since 509 + 9 + 4 + 96 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 509949594 and 509949603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509949647) 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, 39786 + ... + 51017.

It is an arithmetic number, because the mean of its divisors is an integer number (19704468).

Almost surely, 2^509949648 is an apocalyptic number.

It is an amenable number.

509949648 is an abundant number, since it is smaller than the sum of its proper divisors (1066407792).

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

509949648 is a wasteful number, since it uses less digits than its factorization.

509949648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90833 (or 90821 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 509949648 is about 22582.0647417370. The cubic root of 509949648 is about 798.9306796627.

The spelling of 509949648 in words is "five hundred nine million, nine hundred forty-nine thousand, six hundred forty-eight".