482890179408 has 320 divisors, whose sum is σ = 1571832729600. Its totient is φ = 124357939200.

The previous prime is 482890179377. The next prime is 482890179449. The reversal of 482890179408 is 804971098284.

It is a happy number.

It is a Cunningham number, because it is equal to 694903²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38908308 + ... + 38920716.

It is an arithmetic number, because the mean of its divisors is an integer number (4911977280).

Almost surely, 2^482890179408 is an apocalyptic number.

482890179408 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 482890179408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785916364800).

482890179408 is an abundant number, since it is smaller than the sum of its proper divisors (1088942550192).

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

482890179408 is a wasteful number, since it uses less digits than its factorization.

482890179408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12650 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 482890179408 in words is "four hundred eighty-two billion, eight hundred ninety million, one hundred seventy-nine thousand, four hundred eight".