990510000 has 200 divisors, whose sum is σ = 3234202224. Its totient is φ = 261120000.

The previous prime is 990509999. The next prime is 990510023. The reversal of 990510000 is 15099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×990510000² = 1962220120200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4109880 + ... + 4110120.

Almost surely, 2^990510000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617101112).

990510000 is an abundant number, since it is smaller than the sum of its proper divisors (2243692224).

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

990510000 is a wasteful number, since it uses less digits than its factorization.

990510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 990510000 is about 31472.3688336293. The cubic root of 990510000 is about 996.8266068953.

Adding to 990510000 its reverse (15099), we get a palindrome (990525099).

The spelling of 990510000 in words is "nine hundred ninety million, five hundred ten thousand".