1012883472 has 60 divisors (see below), whose sum is σ = 2843737260. Its totient is φ = 336547584.

The previous prime is 1012883441. The next prime is 1012883489. The reversal of 1012883472 is 2743882101.

1012883472 is a `hidden beast` number, since 101 + 2 + 8 + 83 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 320983056 + 691900416 = 17916^2 + 26304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 34554 + ... + 56742.

It is an arithmetic number, because the mean of its divisors is an integer number (47395621).

Almost surely, 2^1012883472 is an apocalyptic number.

1012883472 is a gapful number since it is divisible by the number (12) 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 1012883472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421868630).

1012883472 is an abundant number, since it is smaller than the sum of its proper divisors (1830853788).

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

1012883472 is a wasteful number, since it uses less digits than its factorization.

1012883472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22520 (or 22511 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1012883472 is about 31825.8302641109. The cubic root of 1012883472 is about 1004.2761788964.

The spelling of 1012883472 in words is "one billion, twelve million, eight hundred eighty-three thousand, four hundred seventy-two".