505254400 has 120 divisors (see below), whose sum is σ = 1430890560. Its totient is φ = 173199360.

The previous prime is 505254397. The next prime is 505254427. The reversal of 505254400 is 4452505.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86781 + ... + 92419.

It is an arithmetic number, because the mean of its divisors is an integer number (11924088).

Almost surely, 2^505254400 is an apocalyptic number.

505254400 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 505254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715445280).

505254400 is an abundant number, since it is smaller than the sum of its proper divisors (925636160).

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

505254400 is an equidigital number, since it uses as much as digits as its factorization.

505254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 505254400 is about 22477.8646672677. The cubic root of 505254400 is about 796.4711233416.

The spelling of 505254400 in words is "five hundred five million, two hundred fifty-four thousand, four hundred".