505175940 has 120 divisors (see below), whose sum is σ = 1639554840. Its totient is φ = 130056192.

The previous prime is 505175929. The next prime is 505175947. The reversal of 505175940 is 49571505.

505175940 is a `hidden beast` number, since 50 + 5 + 17 + 594 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166100544 + 339075396 = 12888^2 + 18414^2 .

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 = 505175895 and 505175904.

It is not an unprimeable number, because it can be changed into a prime (505175947) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41604 + ... + 52356.

It is an arithmetic number, because the mean of its divisors is an integer number (13662957).

Almost surely, 2^505175940 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 505175940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819777420).

505175940 is an abundant number, since it is smaller than the sum of its proper divisors (1134378900).

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

505175940 is a wasteful number, since it uses less digits than its factorization.

505175940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10803 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 505175940 is about 22476.1193269657. The cubic root of 505175940 is about 796.4298937093.

The spelling of 505175940 in words is "five hundred five million, one hundred seventy-five thousand, nine hundred forty".