508949805 has 64 divisors (see below), whose sum is σ = 1008322560. Its totient is φ = 213463296.

The previous prime is 508949767. The next prime is 508949809.

It is a happy number.

508949805 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 508949805 - 2⁶ = 508949741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508949809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243294 + ... + 245376.

It is an arithmetic number, because the mean of its divisors is an integer number (15755040).

Almost surely, 2^508949805 is an apocalyptic number.

It is an amenable number.

508949805 is a deficient number, since it is larger than the sum of its proper divisors (499372755).

508949805 is a wasteful number, since it uses less digits than its factorization.

508949805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290.

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 508949805 is about 22559.9158908007. The cubic root of 508949805 is about 798.4081915539.

The spelling of 508949805 in words is "five hundred eight million, nine hundred forty-nine thousand, eight hundred five".