500952528400 has 135 divisors (see below), whose sum is σ = 1233677627469. Its totient is φ = 195483173760.

The previous prime is 500952528397. The next prime is 500952528407. The reversal of 500952528400 is 4825259005.

The square root of 500952528400 is 707780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 180342910224 + 320609618176 = 424668^2 + 566224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (500952528407) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 608690389 + ... + 608691211.

Almost surely, 2^500952528400 is an apocalyptic number.

500952528400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

500952528400 is the 707780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500952528400

500952528400 is an abundant number, since it is smaller than the sum of its proper divisors (732725099069).

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

500952528400 is an frugal number, since it uses more digits than its factorization.

500952528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 500952528400 in words is "five hundred billion, nine hundred fifty-two million, five hundred twenty-eight thousand, four hundred".