1045024000 has 216 divisors, whose sum is σ = 2789900568. Its totient is φ = 389939200.

The previous prime is 1045023943. The next prime is 1045024003. The reversal of 1045024000 is 4205401.

It can be written as a sum of positive squares in 12 ways, for example, as 767068416 + 277955584 = 27696^2 + 16672^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045024003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9247944 + ... + 9248056.

Almost surely, 2^1045024000 is an apocalyptic number.

1045024000 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 1045024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394950284).

1045024000 is an abundant number, since it is smaller than the sum of its proper divisors (1744876568).

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

1045024000 is an equidigital number, since it uses as much as digits as its factorization.

1045024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1045024000 is about 32326.8309612928. The cubic root of 1045024000 is about 1014.7882302255.

Adding to 1045024000 its reverse (4205401), we get a palindrome (1049229401).

The spelling of 1045024000 in words is "one billion, forty-five million, twenty-four thousand".