1995958400 has 192 divisors, whose sum is σ = 5263591680. Its totient is φ = 746127360.

The previous prime is 1995958397. The next prime is 1995958403. The reversal of 1995958400 is 48595991.

It is an interprime number because it is at equal distance from previous prime (1995958397) and next prime (1995958403).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (1995958403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3458912 + ... + 3459488.

It is an arithmetic number, because the mean of its divisors is an integer number (27414540).

Almost surely, 2^1995958400 is an apocalyptic number.

1995958400 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 1995958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631795840).

1995958400 is an abundant number, since it is smaller than the sum of its proper divisors (3267633280).

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

1995958400 is a wasteful number, since it uses less digits than its factorization.

1995958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 50.

The square root of 1995958400 is about 44676.1502370112. The cubic root of 1995958400 is about 1259.0717947603.

The spelling of 1995958400 in words is "one billion, nine hundred ninety-five million, nine hundred fifty-eight thousand, four hundred".