500443056400 has 405 divisors, whose sum is σ = 1454103066213. Its totient is φ = 165026937600.

The previous prime is 500443056361. The next prime is 500443056401. The reversal of 500443056400 is 4650344005.

The square root of 500443056400 is 707420.

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., 180159500304 + 320283556096 = 424452^2 + 565936^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (500443056401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3070202719 + ... + 3070202881.

Almost surely, 2^500443056400 is an apocalyptic number.

500443056400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

500443056400 is the 707420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500443056400

500443056400 is an abundant number, since it is smaller than the sum of its proper divisors (953660009813).

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

500443056400 is a wasteful number, since it uses less digits than its factorization.

500443056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 500443056400 in words is "five hundred billion, four hundred forty-three million, fifty-six thousand, four hundred".