418042408 has 64 divisors (see below), whose sum is σ = 946598400. Its totient is φ = 169076160.

The previous prime is 418042403. The next prime is 418042441. The reversal of 418042408 is 804240814.

It is a self number, because there is not a number n which added to its sum of digits gives 418042408.

It is not an unprimeable number, because it can be changed into a prime (418042403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351591 + ... + 352777.

It is an arithmetic number, because the mean of its divisors is an integer number (14790600).

Almost surely, 2^418042408 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 418042408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473299200).

418042408 is an abundant number, since it is smaller than the sum of its proper divisors (528555992).

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

418042408 is a wasteful number, since it uses less digits than its factorization.

418042408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 418042408 is about 20446.0853954981. The cubic root of 418042408 is about 747.7219218562.

The spelling of 418042408 in words is "four hundred eighteen million, forty-two thousand, four hundred eight".