505168416 has 72 divisors (see below), whose sum is σ = 1440932220. Its totient is φ = 167878656.

The previous prime is 505168403. The next prime is 505168441. The reversal of 505168416 is 614861505.

505168416 is a `hidden beast` number, since 50 + 516 + 84 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483824016 + 21344400 = 21996^2 + 4620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99180 + ... + 104148.

Almost surely, 2^505168416 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 505168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720466110).

505168416 is an abundant number, since it is smaller than the sum of its proper divisors (935763804).

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

505168416 is a wasteful number, since it uses less digits than its factorization.

505168416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 505168416 is about 22475.9519486940. The cubic root of 505168416 is about 796.4259397283.

It can be divided in two parts, 505 and 168416, that added together give a square (168921 = 411²).

The spelling of 505168416 in words is "five hundred five million, one hundred sixty-eight thousand, four hundred sixteen".