482401229915808 has 768 divisors, whose sum is σ = 1749799231488000. Its totient is φ = 126151004012544.

The previous prime is 482401229915741. The next prime is 482401229915827. The reversal of 482401229915808 is 808519922104284.

482401229915808 is a `hidden beast` number, since 4 + 8 + 2 + 40 + 1 + 2 + 2 + 9 + 9 + 1 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1012190913 + ... + 1012667391.

It is an arithmetic number, because the mean of its divisors is an integer number (2278384416000).

Almost surely, 2^{482401229915808} is an apocalyptic number.

482401229915808 is a gapful number since it is divisible by the number (48) 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 482401229915808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874899615744000).

482401229915808 is an abundant number, since it is smaller than the sum of its proper divisors (1267398001572192).

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

482401229915808 is a wasteful number, since it uses less digits than its factorization.

482401229915808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476794 (or 476780 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 482401229915808 in words is "four hundred eighty-two trillion, four hundred one billion, two hundred twenty-nine million, nine hundred fifteen thousand, eight hundred eight".