990389400 has 768 divisors, whose sum is σ = 4409717760. Its totient is φ = 176947200.

The previous prime is 990389341. The next prime is 990389431. The reversal of 990389400 is 4983099.

It is a super-3 number, since 3×990389400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 10210152 + ... + 10210248.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2^990389400 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 990389400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204858880).

990389400 is an abundant number, since it is smaller than the sum of its proper divisors (3419328360).

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

990389400 is a wasteful number, since it uses less digits than its factorization.

990389400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 990389400 is about 31470.4528089445. The cubic root of 990389400 is about 996.7861488928.

The spelling of 990389400 in words is "nine hundred ninety million, three hundred eighty-nine thousand, four hundred".