1598001400 has 48 divisors (see below), whose sum is σ = 3734694000. Its totient is φ = 635873280.

The previous prime is 1598001347. The next prime is 1598001401. The reversal of 1598001400 is 41008951.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1598001401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17901 + ... + 59299.

It is an arithmetic number, because the mean of its divisors is an integer number (77806125).

Almost surely, 2^1598001400 is an apocalyptic number.

1598001400 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 1598001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867347000).

1598001400 is an abundant number, since it is smaller than the sum of its proper divisors (2136692600).

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

1598001400 is a wasteful number, since it uses less digits than its factorization.

1598001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41608 (or 41599 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1598001400 is about 39975.0096935573. The cubic root of 1598001400 is about 1169.1198972174.

The spelling of 1598001400 in words is "one billion, five hundred ninety-eight million, one thousand, four hundred".