1045837824 has 288 divisors, whose sum is σ = 3218342400. Its totient is φ = 300810240.

The previous prime is 1045837823. The next prime is 1045837847. The reversal of 1045837824 is 4287385401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045837823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33736689 + ... + 33736719.

It is an arithmetic number, because the mean of its divisors is an integer number (11174800).

Almost surely, 2^1045837824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609171200).

1045837824 is an abundant number, since it is smaller than the sum of its proper divisors (2172504576).

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

1045837824 is a wasteful number, since it uses less digits than its factorization.

1045837824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 1045837824 is about 32339.4159501992. The cubic root of 1045837824 is about 1015.0515877264.

The spelling of 1045837824 in words is "one billion, forty-five million, eight hundred thirty-seven thousand, eight hundred twenty-four".