413837856 has 96 divisors (see below), whose sum is σ = 1210809600. Its totient is φ = 137514240.

The previous prime is 413837849. The next prime is 413837861. The reversal of 413837856 is 658738314.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397785 + ... + 398823.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2^413837856 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 413837856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

413837856 is an abundant number, since it is smaller than the sum of its proper divisors (796971744).

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

413837856 is a wasteful number, since it uses less digits than its factorization.

413837856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1505 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 413837856 is about 20343.0050877445. The cubic root of 413837856 is about 745.2066786906.

The spelling of 413837856 in words is "four hundred thirteen million, eight hundred thirty-seven thousand, eight hundred fifty-six".