408282282804 has 96 divisors (see below), whose sum is σ = 1067605257600. Its totient is φ = 120349532160.

The previous prime is 408282282791. The next prime is 408282282809.

408282282804 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408282282809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29731812 + ... + 29745540.

It is an arithmetic number, because the mean of its divisors is an integer number (11120888100).

Almost surely, 2^408282282804 is an apocalyptic number.

408282282804 is a gapful number since it is divisible by the number (44) 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 408282282804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533802628800).

408282282804 is an abundant number, since it is smaller than the sum of its proper divisors (659322974796).

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

408282282804 is a wasteful number, since it uses less digits than its factorization.

408282282804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19873 (or 19871 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 408282282804 in words is "four hundred eight billion, two hundred eighty-two million, two hundred eighty-two thousand, eight hundred four".