1597200000 has 384 divisors, whose sum is σ = 5832751680. Its totient is φ = 387200000.

The previous prime is 1597199993. The next prime is 1597200023. The reversal of 1597200000 is 27951.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145199995 + ... + 145200005.

Almost surely, 2^1597200000 is an apocalyptic number.

1597200000 is a gapful number since it is divisible by the number (10) 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 1597200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916375840).

1597200000 is an abundant number, since it is smaller than the sum of its proper divisors (4235551680).

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

1597200000 is an frugal number, since it uses more digits than its factorization.

1597200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1597200000 is about 39964.9846740869. The cubic root of 1597200000 is about 1168.9244261009.

Adding to 1597200000 its reverse (27951), we get a palindrome (1597227951).

The spelling of 1597200000 in words is "one billion, five hundred ninety-seven million, two hundred thousand".