1597641408 has 294 divisors, whose sum is σ = 5243169092. Its totient is φ = 482423040.

The previous prime is 1597641377. The next prime is 1597641431. The reversal of 1597641408 is 8041467951.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5645235 + ... + 5645517.

Almost surely, 2^1597641408 is an apocalyptic number.

1597641408 is a gapful number since it is divisible by the number (18) 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 1597641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621584546).

1597641408 is an abundant number, since it is smaller than the sum of its proper divisors (3645527684).

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

1597641408 is an equidigital number, since it uses as much as digits as its factorization.

1597641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1597641408 is about 39970.5067268355. The cubic root of 1597641408 is about 1169.0320989175.

The spelling of 1597641408 in words is "one billion, five hundred ninety-seven million, six hundred forty-one thousand, four hundred eight".