990450000 has 360 divisors, whose sum is σ = 3626767872. Its totient is φ = 252000000.

The previous prime is 990449959. The next prime is 990450017. The reversal of 990450000 is 54099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13949965 + ... + 13950035.

Almost surely, 2^990450000 is an apocalyptic number.

990450000 is a gapful number since it is divisible by the number (90) 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 990450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813383936).

990450000 is an abundant number, since it is smaller than the sum of its proper divisors (2636317872).

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

990450000 is a wasteful number, since it uses less digits than its factorization.

990450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 990450000 is about 31471.4156020984. The cubic root of 990450000 is about 996.8064789464.

The spelling of 990450000 in words is "nine hundred ninety million, four hundred fifty thousand".