406830347448 has 384 divisors, whose sum is σ = 1251391680000. Its totient is φ = 109680721920.

The previous prime is 406830347437. The next prime is 406830347479. The reversal of 406830347448 is 844743038604.

It is a super-2 number, since 2×406830347448² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406830347448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906080728 + ... + 906081176.

It is an arithmetic number, because the mean of its divisors is an integer number (3258832500).

Almost surely, 2^406830347448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406830347448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625695840000).

406830347448 is an abundant number, since it is smaller than the sum of its proper divisors (844561332552).

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

406830347448 is a wasteful number, since it uses less digits than its factorization.

406830347448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 406830347448 in words is "four hundred six billion, eight hundred thirty million, three hundred forty-seven thousand, four hundred forty-eight".