505833888400 has 135 divisors (see below), whose sum is σ = 1245691445961. Its totient is φ = 197389153920.

The previous prime is 505833888397. The next prime is 505833888437. The reversal of 505833888400 is 4888338505.

The square root of 505833888400 is 711220.

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., 182100199824 + 323733688576 = 426732^2 + 568976^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 611648787 + ... + 611649613.

Almost surely, 2^505833888400 is an apocalyptic number.

505833888400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

505833888400 is the 711220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505833888400

505833888400 is an abundant number, since it is smaller than the sum of its proper divisors (739857557561).

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

505833888400 is an frugal number, since it uses more digits than its factorization.

505833888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 505833888400 in words is "five hundred five billion, eight hundred thirty-three million, eight hundred eighty-eight thousand, four hundred".