505446516 has 72 divisors (see below), whose sum is σ = 1365404040. Its totient is φ = 157095936.

The previous prime is 505446497. The next prime is 505446517. The reversal of 505446516 is 615644505.

505446516 is a `hidden beast` number, since 50 + 54 + 46 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41216400 + 464230116 = 6420^2 + 21546^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505446517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62920 + ... + 70496.

It is an arithmetic number, because the mean of its divisors is an integer number (18963945).

Almost surely, 2^505446516 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 505446516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682702020).

505446516 is an abundant number, since it is smaller than the sum of its proper divisors (859957524).

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

505446516 is a wasteful number, since it uses less digits than its factorization.

505446516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7713 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 505446516 is about 22482.1377097464. The cubic root of 505446516 is about 796.5720595937.

The spelling of 505446516 in words is "five hundred five million, four hundred forty-six thousand, five hundred sixteen".