990259200 has 432 divisors, whose sum is σ = 4066302240. Its totient is φ = 225607680.

The previous prime is 990259199. The next prime is 990259229. The reversal of 990259200 is 2952099.

It is a super-2 number, since 2×990259200² = 1961226566369280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225447 + ... + 3225753.

Almost surely, 2^990259200 is an apocalyptic number.

990259200 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 990259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033151120).

990259200 is an abundant number, since it is smaller than the sum of its proper divisors (3076043040).

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

990259200 is a wasteful number, since it uses less digits than its factorization.

990259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 990259200 is about 31468.3841339208. The cubic root of 990259200 is about 996.7424666657.

The spelling of 990259200 in words is "nine hundred ninety million, two hundred fifty-nine thousand, two hundred".