405309408 has 96 divisors (see below), whose sum is σ = 1221744384. Its totient is φ = 115249152.

The previous prime is 405309403. The next prime is 405309503. The reversal of 405309408 is 804903504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405309403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151216 + ... + 153872.

It is an arithmetic number, because the mean of its divisors is an integer number (12726504).

Almost surely, 2^405309408 is an apocalyptic number.

405309408 is a gapful number since it is divisible by the number (48) 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 405309408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610872192).

405309408 is an abundant number, since it is smaller than the sum of its proper divisors (816434976).

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

405309408 is a wasteful number, since it uses less digits than its factorization.

405309408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 405309408 is about 20132.2976334049. The cubic root of 405309408 is about 740.0519856345.

The spelling of 405309408 in words is "four hundred five million, three hundred nine thousand, four hundred eight".