512214300 has 144 divisors (see below), whose sum is σ = 1773462880. Its totient is φ = 126074880.

The previous prime is 512214257. The next prime is 512214317. The reversal of 512214300 is 3412215.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27804 + ... + 42396.

Almost surely, 2^512214300 is an apocalyptic number.

512214300 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 512214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886731440).

512214300 is an abundant number, since it is smaller than the sum of its proper divisors (1261248580).

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

512214300 is a wasteful number, since it uses less digits than its factorization.

512214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14629 (or 14616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 512214300 is about 22632.1519082919. The cubic root of 512214300 is about 800.1115990147. Note that the first 3 decimals are identical.

Adding to 512214300 its reverse (3412215), we get a palindrome (515626515).

The spelling of 512214300 in words is "five hundred twelve million, two hundred fourteen thousand, three hundred".