413303840 has 48 divisors (see below), whose sum is σ = 981953280. Its totient is φ = 164386560.

The previous prime is 413303777. The next prime is 413303843. The reversal of 413303840 is 48303314.

It is not an unprimeable number, because it can be changed into a prime (413303843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21425 + ... + 35855.

It is an arithmetic number, because the mean of its divisors is an integer number (20457360).

Almost surely, 2^413303840 is an apocalyptic number.

413303840 is a gapful number since it is divisible by the number (40) 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 413303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490976640).

413303840 is an abundant number, since it is smaller than the sum of its proper divisors (568649440).

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

413303840 is a wasteful number, since it uses less digits than its factorization.

413303840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14625 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 413303840 is about 20329.8755529885. The cubic root of 413303840 is about 744.8860027067.

The spelling of 413303840 in words is "four hundred thirteen million, three hundred three thousand, eight hundred forty".