1598400000 has 480 divisors, whose sum is σ = 6073673760. Its totient is φ = 414720000.

The previous prime is 1598399987. The next prime is 1598400007. The reversal of 1598400000 is 48951.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1598400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43199982 + ... + 43200018.

It is an arithmetic number, because the mean of its divisors is an integer number (12653487).

Almost surely, 2^1598400000 is an apocalyptic number.

1598400000 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 1598400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036836880).

1598400000 is an abundant number, since it is smaller than the sum of its proper divisors (4475273760).

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

1598400000 is an frugal number, since it uses more digits than its factorization.

1598400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1598400000 is about 39979.9949974984. The cubic root of 1598400000 is about 1169.2170962248.

Adding to 1598400000 its reverse (48951), we get a palindrome (1598448951).

The spelling of 1598400000 in words is "one billion, five hundred ninety-eight million, four hundred thousand".