505412896 has 72 divisors (see below), whose sum is σ = 1042418160. Its totient is φ = 241166592.

The previous prime is 505412893. The next prime is 505412911. The reversal of 505412896 is 698214505.

It is not an unprimeable number, because it can be changed into a prime (505412893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3635995 + ... + 3636133.

It is an arithmetic number, because the mean of its divisors is an integer number (14478030).

Almost surely, 2^505412896 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 505412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521209080).

505412896 is an abundant number, since it is smaller than the sum of its proper divisors (537005264).

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

505412896 is a wasteful number, since it uses less digits than its factorization.

505412896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 505412896 is about 22481.3899926139. The cubic root of 505412896 is about 796.5543977537.

The spelling of 505412896 in words is "five hundred five million, four hundred twelve thousand, eight hundred ninety-six".