505819008 has 96 divisors (see below), whose sum is σ = 1495011960. Its totient is φ = 164035584.

The previous prime is 505818991. The next prime is 505819031. The reversal of 505819008 is 800918505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36691 + ... + 48557.

Almost surely, 2^505819008 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 505819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747505980).

505819008 is an abundant number, since it is smaller than the sum of its proper divisors (989192952).

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

505819008 is a wasteful number, since it uses less digits than its factorization.

505819008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924 (or 11909 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 505819008 is about 22490.4203606780. The cubic root of 505819008 is about 796.7676911465.

The spelling of 505819008 in words is "five hundred five million, eight hundred nineteen thousand, eight".