505056500 has 144 divisors (see below), whose sum is σ = 1230989760. Its totient is φ = 180835200.

The previous prime is 505056493. The next prime is 505056511. The reversal of 505056500 is 5650505.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 505056500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3633431 + ... + 3633569.

It is an arithmetic number, because the mean of its divisors is an integer number (8548540).

Almost surely, 2^505056500 is an apocalyptic number.

505056500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615494880).

505056500 is an abundant number, since it is smaller than the sum of its proper divisors (725933260).

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

505056500 is a wasteful number, since it uses less digits than its factorization.

505056500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 505056500 is about 22473.4621275851. The cubic root of 505056500 is about 796.3671214638.

The spelling of 505056500 in words is "five hundred five million, fifty-six thousand, five hundred".