512243200 has 120 divisors (see below), whose sum is σ = 1450679472. Its totient is φ = 175595520.

The previous prime is 512243183. The next prime is 512243209. The reversal of 512243200 is 2342215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512243209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86742 + ... + 92458.

Almost surely, 2^512243200 is an apocalyptic number.

512243200 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 512243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725339736).

512243200 is an abundant number, since it is smaller than the sum of its proper divisors (938436272).

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

512243200 is an equidigital number, since it uses as much as digits as its factorization.

512243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 512243200 is about 22632.7903714942. The cubic root of 512243200 is about 800.1266466164.

Adding to 512243200 its reverse (2342215), we get a palindrome (514585415).

The spelling of 512243200 in words is "five hundred twelve million, two hundred forty-three thousand, two hundred".