406321344 has 168 divisors, whose sum is σ = 1368533712. Its totient is φ = 113633280.

The previous prime is 406321343. The next prime is 406321351. The reversal of 406321344 is 443123604.

406321344 is a `hidden beast` number, since 406 + 3 + 213 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (406321343) 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, 79902 + ... + 84834.

It is an arithmetic number, because the mean of its divisors is an integer number (8146034).

Almost surely, 2^406321344 is an apocalyptic number.

406321344 is a gapful number since it is divisible by the number (44) 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 406321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684266856).

406321344 is an abundant number, since it is smaller than the sum of its proper divisors (962212368).

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

406321344 is a wasteful number, since it uses less digits than its factorization.

406321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 406321344 is about 20157.4141198716. The cubic root of 406321344 is about 740.6673697066.

Adding to 406321344 its reverse (443123604), we get a palindrome (849444948).

The spelling of 406321344 in words is "four hundred six million, three hundred twenty-one thousand, three hundred forty-four".