505151200 has 72 divisors (see below), whose sum is σ = 1273043520. Its totient is φ = 195532800.

The previous prime is 505151147. The next prime is 505151221. The reversal of 505151200 is 2151505.

It is a super-2 number, since 2×505151200² = 510355469722880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14616 + ... + 34984.

It is an arithmetic number, because the mean of its divisors is an integer number (17681160).

Almost surely, 2^505151200 is an apocalyptic number.

505151200 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 505151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636521760).

505151200 is an abundant number, since it is smaller than the sum of its proper divisors (767892320).

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

505151200 is a wasteful number, since it uses less digits than its factorization.

505151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20420 (or 20407 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 505151200 is about 22475.5689583156. The cubic root of 505151200 is about 796.4168923002.

It can be divided in two parts, 50515 and 1200, that added together give a palindrome (51715).

The spelling of 505151200 in words is "five hundred five million, one hundred fifty-one thousand, two hundred".