1995408900 has 81 divisors (see below), whose sum is σ = 6258701631. Its totient is φ = 531751680.

The previous prime is 1995408871. The next prime is 1995408901. The reversal of 1995408900 is 98045991.

The square root of 1995408900 is 44670.

It is a perfect power (a square), and thus also a powerful number.

1995408900 is a `hidden beast` number, since 19 + 9 + 540 + 8 + 90 + 0 = 666.

1995408900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 371641284 + 1623767616 = 19278^2 + 40296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1995408901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1339356 + ... + 1340844.

Almost surely, 2^1995408900 is an apocalyptic number.

1995408900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1995408900 is the 44670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1995408900

1995408900 is an abundant number, since it is smaller than the sum of its proper divisors (4263292731).

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

1995408900 is a wasteful number, since it uses less digits than its factorization.

1995408900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The cubic root of 1995408900 is about 1258.9562406732.

The spelling of 1995408900 in words is "one billion, nine hundred ninety-five million, four hundred eight thousand, nine hundred".