505200000 has 192 divisors, whose sum is σ = 1681298640. Its totient is φ = 134400000.

The previous prime is 505199993. The next prime is 505200011. The reversal of 505200000 is 2505.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199790 + ... + 1200210.

Almost surely, 2^505200000 is an apocalyptic number.

505200000 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 505200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840649320).

505200000 is an abundant number, since it is smaller than the sum of its proper divisors (1176098640).

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

505200000 is an frugal number, since it uses more digits than its factorization.

505200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 505200000 is about 22476.6545553381. The cubic root of 505200000 is about 796.4425373565.

Adding to 505200000 its reverse (2505), we get a palindrome (505202505).

The spelling of 505200000 in words is "five hundred five million, two hundred thousand".