505805940 has 72 divisors (see below), whose sum is σ = 1541161440. Its totient is φ = 134276544.

The previous prime is 505805939. The next prime is 505805941. The reversal of 505805940 is 49508505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505805939) and next prime (505805941).

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 = 505805895 and 505805904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505805941) 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 23 ways as a sum of consecutive naturals, for example, 34671 + ... + 47049.

It is an arithmetic number, because the mean of its divisors is an integer number (21405020).

Almost surely, 2^505805940 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 505805940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770580720).

505805940 is an abundant number, since it is smaller than the sum of its proper divisors (1035355500).

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

505805940 is a wasteful number, since it uses less digits than its factorization.

505805940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 505805940 is about 22490.1298351077. The cubic root of 505805940 is about 796.7608295025.

The spelling of 505805940 in words is "five hundred five million, eight hundred five thousand, nine hundred forty".