512264424400 has 120 divisors (see below), whose sum is σ = 1234754211744. Its totient is φ = 204234508800.

The previous prime is 512264424377. The next prime is 512264424409. The reversal of 512264424400 is 4424462215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512264424409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293224327 + ... + 293226073.

Almost surely, 2^512264424400 is an apocalyptic number.

512264424400 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 512264424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617377105872).

512264424400 is an abundant number, since it is smaller than the sum of its proper divisors (722489787344).

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

512264424400 is a wasteful number, since it uses less digits than its factorization.

512264424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 512264424400 its reverse (4424462215), we get a palindrome (516688886615).

The spelling of 512264424400 in words is "five hundred twelve billion, two hundred sixty-four million, four hundred twenty-four thousand, four hundred".