509902890 has 64 divisors (see below), whose sum is σ = 1402030080. Its totient is φ = 116262720.

The previous prime is 509902889. The next prime is 509902909. The reversal of 509902890 is 98209905.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89425 + ... + 94955.

It is an arithmetic number, because the mean of its divisors is an integer number (21906720).

Almost surely, 2^509902890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509902890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701015040).

509902890 is an abundant number, since it is smaller than the sum of its proper divisors (892127190).

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

509902890 is a wasteful number, since it uses less digits than its factorization.

509902890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987.

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 509902890 is about 22581.0294273755. The cubic root of 509902890 is about 798.9062605573.

The spelling of 509902890 in words is "five hundred nine million, nine hundred two thousand, eight hundred ninety".