505848096 has 216 divisors, whose sum is σ = 1642651920. Its totient is φ = 147184128.

The previous prime is 505848061. The next prime is 505848137. The reversal of 505848096 is 690848505.

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 35 ways as a sum of consecutive naturals, for example, 924495 + ... + 925041.

It is an arithmetic number, because the mean of its divisors is an integer number (7604870).

Almost surely, 2^505848096 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 505848096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821325960).

505848096 is an abundant number, since it is smaller than the sum of its proper divisors (1136803824).

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

505848096 is a wasteful number, since it uses less digits than its factorization.

505848096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 505848096 is about 22491.0670267108. The cubic root of 505848096 is about 796.7829640234.

The spelling of 505848096 in words is "five hundred five million, eight hundred forty-eight thousand, ninety-six".