1329825408 has 192 divisors, whose sum is σ = 3923017920. Its totient is φ = 398295040.

The previous prime is 1329825403. The next prime is 1329825449. The reversal of 1329825408 is 8045289231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1329825408.

It is not an unprimeable number, because it can be changed into a prime (1329825401) 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, 2552188 + ... + 2552708.

It is an arithmetic number, because the mean of its divisors is an integer number (20432385).

Almost surely, 2^1329825408 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 1329825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961508960).

1329825408 is an abundant number, since it is smaller than the sum of its proper divisors (2593192512).

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

1329825408 is a wasteful number, since it uses less digits than its factorization.

1329825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1329825408 is about 36466.7712856513. The cubic root of 1329825408 is about 1099.6763257050.

The spelling of 1329825408 in words is "one billion, three hundred twenty-nine million, eight hundred twenty-five thousand, four hundred eight".