408071296 has 64 divisors (see below), whose sum is σ = 859248000. Its totient is φ = 192726016.

The previous prime is 408071269. The next prime is 408071297. The reversal of 408071296 is 692170804.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (408071297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173295 + ... + 175633.

It is an arithmetic number, because the mean of its divisors is an integer number (13425750).

Almost surely, 2^408071296 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 408071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429624000).

408071296 is an abundant number, since it is smaller than the sum of its proper divisors (451176704).

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

408071296 is a wasteful number, since it uses less digits than its factorization.

408071296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 408071296 is about 20200.7746386123. The cubic root of 408071296 is about 741.7291533319.

The spelling of 408071296 in words is "four hundred eight million, seventy-one thousand, two hundred ninety-six".