512240400 has 180 divisors, whose sum is σ = 2031661632. Its totient is φ = 117077760.

The previous prime is 512240297. The next prime is 512240401. The reversal of 512240400 is 4042215.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (512240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15037 + ... + 35363.

Almost surely, 2^512240400 is an apocalyptic number.

512240400 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 512240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015830816).

512240400 is an abundant number, since it is smaller than the sum of its proper divisors (1519421232).

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

512240400 is a wasteful number, since it uses less digits than its factorization.

512240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20358 (or 20344 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 512240400 is about 22632.7285142556. The cubic root of 512240400 is about 800.1251887420.

Adding to 512240400 its reverse (4042215), we get a palindrome (516282615).

The spelling of 512240400 in words is "five hundred twelve million, two hundred forty thousand, four hundred".