413003850 has 144 divisors (see below), whose sum is σ = 1207610208. Its totient is φ = 93125760.

The previous prime is 413003849. The next prime is 413003861. The reversal of 413003850 is 58300314.

It is a super-2 number, since 2×413003850² = 341144360229645000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 413003850.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609712 + ... + 610388.

It is an arithmetic number, because the mean of its divisors is an integer number (8386182).

Almost surely, 2^413003850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413003850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603805104).

413003850 is an abundant number, since it is smaller than the sum of its proper divisors (794606358).

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

413003850 is a wasteful number, since it uses less digits than its factorization.

413003850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 413003850 is about 20322.4961557383. The cubic root of 413003850 is about 744.7057378775.

It can be divided in two parts, 41300 and 3850, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 413003850 in words is "four hundred thirteen million, three thousand, eight hundred fifty".