413021856 has 96 divisors (see below), whose sum is σ = 1218430080. Its totient is φ = 121549824.

The previous prime is 413021849. The next prime is 413021887. The reversal of 413021856 is 658120314.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21510 + ... + 35898.

It is an arithmetic number, because the mean of its divisors is an integer number (12691980).

Almost surely, 2^413021856 is an apocalyptic number.

413021856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413021856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609215040).

413021856 is an abundant number, since it is smaller than the sum of its proper divisors (805408224).

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

413021856 is a wasteful number, since it uses less digits than its factorization.

413021856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14438 (or 14430 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 413021856 is about 20322.9391575136. The cubic root of 413021856 is about 744.7165601952.

The spelling of 413021856 in words is "four hundred thirteen million, twenty-one thousand, eight hundred fifty-six".