505252974400 has 168 divisors, whose sum is σ = 1317461302080. Its totient is φ = 190055178240.

The previous prime is 505252974367. The next prime is 505252974407. The reversal of 505252974400 is 4479252505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505252974407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35869759 + ... + 35883841.

It is an arithmetic number, because the mean of its divisors is an integer number (7842031560).

Almost surely, 2^505252974400 is an apocalyptic number.

505252974400 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 505252974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658730651040).

505252974400 is an abundant number, since it is smaller than the sum of its proper divisors (812208327680).

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

505252974400 is a wasteful number, since it uses less digits than its factorization.

505252974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15441 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 505252974400 in words is "five hundred five billion, two hundred fifty-two million, nine hundred seventy-four thousand, four hundred".