990448560 has 400 divisors, whose sum is σ = 3756161376. Its totient is φ = 241864704.

The previous prime is 990448507. The next prime is 990448561. The reversal of 990448560 is 65844099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990448561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26768862 + ... + 26768898.

Almost surely, 2^990448560 is an apocalyptic number.

990448560 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 990448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878080688).

990448560 is an abundant number, since it is smaller than the sum of its proper divisors (2765712816).

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

990448560 is an equidigital number, since it uses as much as digits as its factorization.

990448560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 990448560 is about 31471.3927241868. The cubic root of 990448560 is about 996.8059958656.

The spelling of 990448560 in words is "nine hundred ninety million, four hundred forty-eight thousand, five hundred sixty".