516403200 has 234 divisors, whose sum is σ = 1750023532. Its totient is φ = 134348800.

The previous prime is 516403193. The next prime is 516403201. The reversal of 516403200 is 2304615.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (516403201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12595180 + ... + 12595220.

Almost surely, 2^516403200 is an apocalyptic number.

516403200 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 516403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875011766).

516403200 is an abundant number, since it is smaller than the sum of its proper divisors (1233620332).

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

516403200 is an equidigital number, since it uses as much as digits as its factorization.

516403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 516403200 is about 22724.5065953037. The cubic root of 516403200 is about 802.2867903423.

Adding to 516403200 its reverse (2304615), we get a palindrome (518707815).

The spelling of 516403200 in words is "five hundred sixteen million, four hundred three thousand, two hundred".