413081856 has 180 divisors, whose sum is σ = 1344453264. Its totient is φ = 125107200.

The previous prime is 413081839. The next prime is 413081899. The reversal of 413081856 is 658180314.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 413081856.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227191 + ... + 229001.

Almost surely, 2^413081856 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 413081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672226632).

413081856 is an abundant number, since it is smaller than the sum of its proper divisors (931371408).

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

413081856 is a wasteful number, since it uses less digits than its factorization.

413081856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 413081856 is about 20324.4152683417. The cubic root of 413081856 is about 744.7526202967.

The spelling of 413081856 in words is "four hundred thirteen million, eighty-one thousand, eight hundred fifty-six".