505270116 has 288 divisors, whose sum is σ = 1574092800. Its totient is φ = 139501440.

The previous prime is 505270109. The next prime is 505270153. The reversal of 505270116 is 611072505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 505270116.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10750405 + ... + 10750451.

It is an arithmetic number, because the mean of its divisors is an integer number (5465600).

Almost surely, 2^505270116 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 505270116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787046400).

505270116 is an abundant number, since it is smaller than the sum of its proper divisors (1068822684).

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

505270116 is a wasteful number, since it uses less digits than its factorization.

505270116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 505270116 is about 22478.2142529161. The cubic root of 505270116 is about 796.4793813666.

The spelling of 505270116 in words is "five hundred five million, two hundred seventy thousand, one hundred sixteen".