482780433408 has 1408 divisors, whose sum is σ = 1806526955520. Its totient is φ = 110981283840.

The previous prime is 482780433407. The next prime is 482780433479. The reversal of 482780433408 is 804334087284.

It is a super-3 number, since 3×482780433408³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (482780433407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4272393160 + ... + 4272393272.

Almost surely, 2^482780433408 is an apocalyptic number.

482780433408 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 482780433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903263477760).

482780433408 is an abundant number, since it is smaller than the sum of its proper divisors (1323746522112).

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

482780433408 is a wasteful number, since it uses less digits than its factorization.

482780433408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 482780433408 in words is "four hundred eighty-two billion, seven hundred eighty million, four hundred thirty-three thousand, four hundred eight".