406918344 has 96 divisors (see below), whose sum is σ = 1189339200. Its totient is φ = 115678080.

The previous prime is 406918321. The next prime is 406918349. The reversal of 406918344 is 443819604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (406918349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268549 + ... + 270059.

It is an arithmetic number, because the mean of its divisors is an integer number (12388950).

Almost surely, 2^406918344 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 406918344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594669600).

406918344 is an abundant number, since it is smaller than the sum of its proper divisors (782420856).

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

406918344 is a wasteful number, since it uses less digits than its factorization.

406918344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 406918344 is about 20172.2171314905. The cubic root of 406918344 is about 741.0299415490.

The spelling of 406918344 in words is "four hundred six million, nine hundred eighteen thousand, three hundred forty-four".