1047273984 has 240 divisors, whose sum is σ = 3317834520. Its totient is φ = 316538880.

The previous prime is 1047273979. The next prime is 1047273989. The reversal of 1047273984 is 4893727401.

It is an interprime number because it is at equal distance from previous prime (1047273979) and next prime (1047273989).

It can be written as a sum of positive squares in 4 ways, for example, as 940771584 + 106502400 = 30672^2 + 10320^2 .

It is not an unprimeable number, because it can be changed into a prime (1047273989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2271514 + ... + 2271974.

Almost surely, 2^1047273984 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 1047273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658917260).

1047273984 is an abundant number, since it is smaller than the sum of its proper divisors (2270560536).

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

1047273984 is a wasteful number, since it uses less digits than its factorization.

1047273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1047273984 is about 32361.6128151858. The cubic root of 1047273984 is about 1015.5160031718.

The spelling of 1047273984 in words is "one billion, forty-seven million, two hundred seventy-three thousand, nine hundred eighty-four".