505816740 has 288 divisors, whose sum is σ = 1848502656. Its totient is φ = 110315520.

The previous prime is 505816723. The next prime is 505816747. The reversal of 505816740 is 47618505.

505816740 is a `hidden beast` number, since 5 + 0 + 581 + 6 + 74 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 505816695 and 505816704.

It is not an unprimeable number, because it can be changed into a prime (505816747) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1106592 + ... + 1107048.

It is an arithmetic number, because the mean of its divisors is an integer number (6418412).

Almost surely, 2^505816740 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 505816740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924251328).

505816740 is an abundant number, since it is smaller than the sum of its proper divisors (1342685916).

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

505816740 is a wasteful number, since it uses less digits than its factorization.

505816740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 505816740 is about 22490.3699391540. The cubic root of 505816740 is about 796.7665002912.

The spelling of 505816740 in words is "five hundred five million, eight hundred sixteen thousand, seven hundred forty".