413954408 has 64 divisors (see below), whose sum is σ = 929587200. Its totient is φ = 169076160.

The previous prime is 413954407. The next prime is 413954461. The reversal of 413954408 is 804459314.

It is not an unprimeable number, because it can be changed into a prime (413954407) by changing a digit.

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, 114533 + ... + 118091.

It is an arithmetic number, because the mean of its divisors is an integer number (14524800).

Almost surely, 2^413954408 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 413954408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464793600).

413954408 is an abundant number, since it is smaller than the sum of its proper divisors (515632792).

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

413954408 is a wasteful number, since it uses less digits than its factorization.

413954408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 413954408 is about 20345.8695562515. The cubic root of 413954408 is about 745.2766313503.

The spelling of 413954408 in words is "four hundred thirteen million, nine hundred fifty-four thousand, four hundred eight".