990147456 has 256 divisors, whose sum is σ = 3260736000. Its totient is φ = 293953536.

The previous prime is 990147443. The next prime is 990147461. The reversal of 990147456 is 654741099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115845 + ... + 1116731.

It is an arithmetic number, because the mean of its divisors is an integer number (12737250).

Almost surely, 2^990147456 is an apocalyptic number.

990147456 is a gapful number since it is divisible by the number (96) 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 990147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630368000).

990147456 is an abundant number, since it is smaller than the sum of its proper divisors (2270588544).

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

990147456 is a wasteful number, since it uses less digits than its factorization.

990147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 990147456 is about 31466.6085875170. The cubic root of 990147456 is about 996.7049733912.

The spelling of 990147456 in words is "nine hundred ninety million, one hundred forty-seven thousand, four hundred fifty-six".