1995408000 has 512 divisors, whose sum is σ = 7637760000. Its totient is φ = 511488000.

The previous prime is 1995407977. The next prime is 1995408007. The reversal of 1995408000 is 8045991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995408007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13391926 + ... + 13392074.

It is an arithmetic number, because the mean of its divisors is an integer number (14917500).

Almost surely, 2^1995408000 is an apocalyptic number.

1995408000 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 1995408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880000).

1995408000 is an abundant number, since it is smaller than the sum of its proper divisors (5642352000).

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

1995408000 is a wasteful number, since it uses less digits than its factorization.

1995408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1995408000 is about 44669.9899261238. The cubic root of 1995408000 is about 1258.9560513952.

The spelling of 1995408000 in words is "one billion, nine hundred ninety-five million, four hundred eight thousand".