1045908864 has 384 divisors, whose sum is σ = 4045466880. Its totient is φ = 250490880.

The previous prime is 1045908841. The next prime is 1045908869. The reversal of 1045908864 is 4688095401.

1045908864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045908869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152699 + ... + 1153605.

It is an arithmetic number, because the mean of its divisors is an integer number (10535070).

Almost surely, 2^1045908864 is an apocalyptic number.

1045908864 is a gapful number since it is divisible by the number (14) 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 1045908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022733440).

1045908864 is an abundant number, since it is smaller than the sum of its proper divisors (2999558016).

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

1045908864 is a wasteful number, since it uses less digits than its factorization.

1045908864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1045908864 is about 32340.5142816251. The cubic root of 1045908864 is about 1015.0745701399.

It can be divided in two parts, 1045 and 908864, that added together give a palindrome (909909).

The spelling of 1045908864 in words is "one billion, forty-five million, nine hundred eight thousand, eight hundred sixty-four".