418049856 has 448 divisors, whose sum is σ = 1580083200. Its totient is φ = 105504768.

The previous prime is 418049843. The next prime is 418049861. The reversal of 418049856 is 658940814.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906955 + ... + 3907061.

Almost surely, 2^418049856 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 418049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

418049856 is an abundant number, since it is smaller than the sum of its proper divisors (1162033344).

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

418049856 is a wasteful number, since it uses less digits than its factorization.

418049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 418049856 is about 20446.2675322417. The cubic root of 418049856 is about 747.7263623944.

The spelling of 418049856 in words is "four hundred eighteen million, forty-nine thousand, eight hundred fifty-six".