1045933056 has 264 divisors, whose sum is σ = 3569705984. Its totient is φ = 288645120.

The previous prime is 1045933043. The next prime is 1045933099. The reversal of 1045933056 is 6503395401.

1045933056 is a `hidden beast` number, since 10 + 4 + 593 + 3 + 0 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1045933056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999611 + ... + 2000133.

Almost surely, 2^1045933056 is an apocalyptic number.

1045933056 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 1045933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784852992).

1045933056 is an abundant number, since it is smaller than the sum of its proper divisors (2523772928).

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

1045933056 is a wasteful number, since it uses less digits than its factorization.

1045933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1045933056 is about 32340.8882994886. Note that the first 3 decimals coincide. The cubic root of 1045933056 is about 1015.0823963459.

The spelling of 1045933056 in words is "one billion, forty-five million, nine hundred thirty-three thousand, fifty-six".