505460500 has 48 divisors (see below), whose sum is σ = 1107117648. Its totient is φ = 201600000.

The previous prime is 505460471. The next prime is 505460503. The reversal of 505460500 is 5064505.

It can be written as a sum of positive squares in 8 ways, for example, as 180956304 + 324504196 = 13452^2 + 18014^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505460503) 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 15 ways as a sum of consecutive naturals, for example, 199240 + ... + 201760.

It is an arithmetic number, because the mean of its divisors is an integer number (23064951).

Almost surely, 2^505460500 is an apocalyptic number.

505460500 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 505460500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553558824).

505460500 is an abundant number, since it is smaller than the sum of its proper divisors (601657148).

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

505460500 is a wasteful number, since it uses less digits than its factorization.

505460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 505460500 is about 22482.4487100494. The cubic root of 505460500 is about 796.5794056799.

The spelling of 505460500 in words is "five hundred five million, four hundred sixty thousand, five hundred".