505051200 has 294 divisors, whose sum is σ = 1867563194. Its totient is φ = 134369280.

The previous prime is 505051193. The next prime is 505051201. The reversal of 505051200 is 2150505.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 504631296 = 648^2 + 22464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (505051201) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166184 + ... + 1166616.

Almost surely, 2^505051200 is an apocalyptic number.

505051200 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 505051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933781597).

505051200 is an abundant number, since it is smaller than the sum of its proper divisors (1362511994).

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

505051200 is an equidigital number, since it uses as much as digits as its factorization.

505051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 505051200 is about 22473.3442104196. The cubic root of 505051200 is about 796.3643357949.

The spelling of 505051200 in words is "five hundred five million, fifty-one thousand, two hundred".