408418056 has 96 divisors (see below), whose sum is σ = 1169925120. Its totient is φ = 128505600.

The previous prime is 408418009. The next prime is 408418067. The reversal of 408418056 is 650814804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 408418056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89281 + ... + 93743.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^408418056 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 408418056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

408418056 is an abundant number, since it is smaller than the sum of its proper divisors (761507064).

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

408418056 is a wasteful number, since it uses less digits than its factorization.

408418056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 408418056 is about 20209.3556552405. The cubic root of 408418056 is about 741.9391894909.

The spelling of 408418056 in words is "four hundred eight million, four hundred eighteen thousand, fifty-six".