1045833120 has 288 divisors, whose sum is σ = 3806345088. Its totient is φ = 270978048.

The previous prime is 1045833109. The next prime is 1045833133. The reversal of 1045833120 is 213385401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438197 + ... + 1438923.

It is an arithmetic number, because the mean of its divisors is an integer number (13216476).

Almost surely, 2^1045833120 is an apocalyptic number.

1045833120 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 1045833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903172544).

1045833120 is an abundant number, since it is smaller than the sum of its proper divisors (2760511968).

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

1045833120 is an equidigital number, since it uses as much as digits as its factorization.

1045833120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1045833120 is about 32339.3432215313. The cubic root of 1045833120 is about 1015.0500658812.

The spelling of 1045833120 in words is "one billion, forty-five million, eight hundred thirty-three thousand, one hundred twenty".