1047308320 has 96 divisors (see below), whose sum is σ = 2580621120. Its totient is φ = 401157120.

The previous prime is 1047308303. The next prime is 1047308323. The reversal of 1047308320 is 238037401.

It is not an unprimeable number, because it can be changed into a prime (1047308323) 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 15 ways as a sum of consecutive naturals, for example, 606979 + ... + 608701.

It is an arithmetic number, because the mean of its divisors is an integer number (26881470).

Almost surely, 2^1047308320 is an apocalyptic number.

1047308320 is a gapful number since it is divisible by the number (10) 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 1047308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290310560).

1047308320 is an abundant number, since it is smaller than the sum of its proper divisors (1533312800).

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

1047308320 is a wasteful number, since it uses less digits than its factorization.

1047308320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1047308320 is about 32362.1433159178. The cubic root of 1047308320 is about 1015.5271013107.

It can be divided in two parts, 1047308 and 320, that added together give a triangular number (1047628 = T₁₄₄₇).

The spelling of 1047308320 in words is "one billion, forty-seven million, three hundred eight thousand, three hundred twenty".