505407246400 has 189 divisors, whose sum is σ = 1447227329949. Its totient is φ = 173214236160.

The previous prime is 505407246389. The next prime is 505407246413. The reversal of 505407246400 is 4642704505.

The square root of 505407246400 is 710920.

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., 181946608704 + 323460637696 = 426552^2 + 568736^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505407246400.

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, 199056331 + ... + 199058869.

Almost surely, 2^505407246400 is an apocalyptic number.

505407246400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

505407246400 is the 710920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505407246400

505407246400 is an abundant number, since it is smaller than the sum of its proper divisors (941820083549).

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

505407246400 is an frugal number, since it uses more digits than its factorization.

505407246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

The spelling of 505407246400 in words is "five hundred five billion, four hundred seven million, two hundred forty-six thousand, four hundred".