1045929024 has 560 divisors, whose sum is σ = 3924117120. Its totient is φ = 268738560.

The previous prime is 1045929013. The next prime is 1045929067. The reversal of 1045929024 is 4209295401.

1045929024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 1045929024.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25510444 + ... + 25510484.

It is an arithmetic number, because the mean of its divisors is an integer number (7007352).

Almost surely, 2^1045929024 is an apocalyptic number.

1045929024 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 1045929024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962058560).

1045929024 is an abundant number, since it is smaller than the sum of its proper divisors (2878188096).

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

1045929024 is a wasteful number, since it uses less digits than its factorization.

1045929024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1045929024 is about 32340.8259634784. The cubic root of 1045929024 is about 1015.0810919866.

The spelling of 1045929024 in words is "one billion, forty-five million, nine hundred twenty-nine thousand, twenty-four".