505508412024 has 768 divisors, whose sum is σ = 1869112627200. Its totient is φ = 119476684800.

The previous prime is 505508412023. The next prime is 505508412047. The reversal of 505508412024 is 420214805505.

505508412024 is a `hidden beast` number, since 5 + 0 + 5 + 508 + 4 + 120 + 24 = 666.

It is a super-2 number, since 2×505508412024² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505508412024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505508412023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 289357119 + ... + 289358865.

It is an arithmetic number, because the mean of its divisors is an integer number (2433740400).

Almost surely, 2^505508412024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505508412024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934556313600).

505508412024 is an abundant number, since it is smaller than the sum of its proper divisors (1363604215176).

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

505508412024 is a wasteful number, since it uses less digits than its factorization.

505508412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 505508412024 in words is "five hundred five billion, five hundred eight million, four hundred twelve thousand, twenty-four".