1599420000 has 480 divisors, whose sum is σ = 5857125120. Its totient is φ = 380160000.

The previous prime is 1599419933. The next prime is 1599420029. The reversal of 1599420000 is 249951.

It is a happy number.

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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1599420000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26219970 + ... + 26220030.

It is an arithmetic number, because the mean of its divisors is an integer number (12202344).

Almost surely, 2^1599420000 is an apocalyptic number.

1599420000 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 1599420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928562560).

1599420000 is an abundant number, since it is smaller than the sum of its proper divisors (4257705120).

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

1599420000 is a wasteful number, since it uses less digits than its factorization.

1599420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1599420000 is about 39992.7493428496. The cubic root of 1599420000 is about 1169.4657506806.

Adding to 1599420000 its reverse (249951), we get a palindrome (1599669951).

The spelling of 1599420000 in words is "one billion, five hundred ninety-nine million, four hundred twenty thousand".