500512000 has 72 divisors (see below), whose sum is σ = 1246917672. Its totient is φ = 200192000.

The previous prime is 500511971. The next prime is 500512021. The reversal of 500512000 is 215005.

It can be written as a sum of positive squares in 4 ways, for example, as 10863616 + 489648384 = 3296^2 + 22128^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24180 + ... + 39820.

It is an arithmetic number, because the mean of its divisors is an integer number (17318301).

Almost surely, 2^500512000 is an apocalyptic number.

500512000 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 500512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623458836).

500512000 is an abundant number, since it is smaller than the sum of its proper divisors (746405672).

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

500512000 is an equidigital number, since it uses as much as digits as its factorization.

500512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 500512000 is about 22372.1255136833. The cubic root of 500512000 is about 793.9713500101.

Adding to 500512000 its reverse (215005), we get a palindrome (500727005).

It can be divided in two parts, 500 and 512000, that multiplied together give a square (256000000 = 16000²).

The spelling of 500512000 in words is "five hundred million, five hundred twelve thousand".