413444940 has 96 divisors (see below), whose sum is σ = 1236990720. Its totient is φ = 102871296.

The previous prime is 413444929. The next prime is 413444971. The reversal of 413444940 is 49444314.

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 31 ways as a sum of consecutive naturals, for example, 73674 + ... + 79086.

It is an arithmetic number, because the mean of its divisors is an integer number (12885320).

Almost surely, 2^413444940 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 413444940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618495360).

413444940 is an abundant number, since it is smaller than the sum of its proper divisors (823545780).

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

413444940 is a wasteful number, since it uses less digits than its factorization.

413444940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 413444940 is about 20333.3455191220. The cubic root of 413444940 is about 744.9707599292.

The spelling of 413444940 in words is "four hundred thirteen million, four hundred forty-four thousand, nine hundred forty".