1048284576 has 144 divisors (see below), whose sum is σ = 3101421960. Its totient is φ = 335462400.

The previous prime is 1048284553. The next prime is 1048284577. The reversal of 1048284576 is 6754828401.

1048284576 is a `hidden beast` number, since 10 + 48 + 28 + 4 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 896403600 + 151880976 = 29940^2 + 12324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048284577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2613976 + ... + 2614376.

Almost surely, 2^1048284576 is an apocalyptic number.

1048284576 is a gapful number since it is divisible by the number (16) 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 1048284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550710980).

1048284576 is an abundant number, since it is smaller than the sum of its proper divisors (2053137384).

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

1048284576 is a wasteful number, since it uses less digits than its factorization.

1048284576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1048284576 is about 32377.2231051398. The cubic root of 1048284576 is about 1015.8425469520.

The spelling of 1048284576 in words is "one billion, forty-eight million, two hundred eighty-four thousand, five hundred seventy-six".