406882784457424 has 240 divisors, whose sum is σ = 984000231829440. Its totient is φ = 161794605772800.

The previous prime is 406882784457421. The next prime is 406882784457427. The reversal of 406882784457424 is 424754487288604.

It is an interprime number because it is at equal distance from previous prime (406882784457421) and next prime (406882784457427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406882784457421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27003979 + ... + 39280789.

It is an arithmetic number, because the mean of its divisors is an integer number (4100000965956).

Almost surely, 2^{406882784457424} is an apocalyptic number.

406882784457424 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 406882784457424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492000115914720).

406882784457424 is an abundant number, since it is smaller than the sum of its proper divisors (577117447372016).

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

406882784457424 is a wasteful number, since it uses less digits than its factorization.

406882784457424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12276930 (or 12276913 counting only the distinct ones).

The product of its (nonzero) digits is 3082813440, while the sum is 73.

The spelling of 406882784457424 in words is "four hundred six trillion, eight hundred eighty-two billion, seven hundred eighty-four million, four hundred fifty-seven thousand, four hundred twenty-four".