382416828480 has 224 divisors, whose sum is σ = 1350850435200. Its totient is φ = 101844117504.

The previous prime is 382416828439. The next prime is 382416828569. The reversal of 382416828480 is 84828614283.

382416828480 is a `hidden beast` number, since 3 + 82 + 4 + 1 + 6 + 82 + 8 + 480 = 666.

It is a super-2 number, since 2×382416828480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6650091 + ... + 6707349.

It is an arithmetic number, because the mean of its divisors is an integer number (6030582300).

Almost surely, 2^382416828480 is an apocalyptic number.

382416828480 is a gapful number since it is divisible by the number (30) 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 382416828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675425217600).

382416828480 is an abundant number, since it is smaller than the sum of its proper divisors (968433606720).

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

382416828480 is a wasteful number, since it uses less digits than its factorization.

382416828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58058 (or 58042 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 382416828480 in words is "three hundred eighty-two billion, four hundred sixteen million, eight hundred twenty-eight thousand, four hundred eighty".