508950000 has 480 divisors, whose sum is σ = 2034244800. Its totient is φ = 120960000.

The previous prime is 508949999. The next prime is 508950007. The reversal of 508950000 is 59805.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508950007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17549986 + ... + 17550014.

It is an arithmetic number, because the mean of its divisors is an integer number (4238010).

Almost surely, 2^508950000 is an apocalyptic number.

508950000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017122400).

508950000 is an abundant number, since it is smaller than the sum of its proper divisors (1525294800).

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

508950000 is a wasteful number, since it uses less digits than its factorization.

508950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 508950000 is about 22559.9202126249. The cubic root of 508950000 is about 798.4082935218.

The spelling of 508950000 in words is "five hundred eight million, nine hundred fifty thousand".