996401280 has 512 divisors, whose sum is σ = 3965760000. Its totient is φ = 211943424.

The previous prime is 996401279. The next prime is 996401299. The reversal of 996401280 is 82104699.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11195476 + ... + 11195564.

It is an arithmetic number, because the mean of its divisors is an integer number (7745625).

Almost surely, 2^996401280 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 996401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982880000).

996401280 is an abundant number, since it is smaller than the sum of its proper divisors (2969358720).

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

996401280 is a wasteful number, since it uses less digits than its factorization.

996401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 996401280 is about 31565.8245575813. The cubic root of 996401280 is about 998.7989848066.

The spelling of 996401280 in words is "nine hundred ninety-six million, four hundred one thousand, two hundred eighty".