505362000 has 640 divisors, whose sum is σ = 2079866880. Its totient is φ = 103680000.

The previous prime is 505361993. The next prime is 505362007. The reversal of 505362000 is 263505.

It is an interprime number because it is at equal distance from previous prime (505361993) and next prime (505362007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505362007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16301985 + ... + 16302015.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^505362000 is an apocalyptic number.

505362000 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 505362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039933440).

505362000 is an abundant number, since it is smaller than the sum of its proper divisors (1574504880).

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

505362000 is a wasteful number, since it uses less digits than its factorization.

505362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 505362000 is about 22480.2580056369. The cubic root of 505362000 is about 796.5276586962.

The spelling of 505362000 in words is "five hundred five million, three hundred sixty-two thousand".