510430412800 has 972 divisors, whose sum is σ = 1706453412804. Its totient is φ = 149736652800.

The previous prime is 510430412759. The next prime is 510430412801. The reversal of 510430412800 is 8214034015.

It is a super-2 number, since 2×510430412800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510430412801) 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 53 ways as a sum of consecutive naturals, for example, 30025318392 + ... + 30025318408.

It is an arithmetic number, because the mean of its divisors is an integer number (1755610507).

Almost surely, 2^510430412800 is an apocalyptic number.

510430412800 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 510430412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853226706402).

510430412800 is an abundant number, since it is smaller than the sum of its proper divisors (1196023000004).

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

510430412800 is an equidigital number, since it uses as much as digits as its factorization.

510430412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 510430412800 its reverse (8214034015), we get a palindrome (518644446815).

The spelling of 510430412800 in words is "five hundred ten billion, four hundred thirty million, four hundred twelve thousand, eight hundred".