1024045000 has 160 divisors (see below), whose sum is σ = 2684515680. Its totient is φ = 362880000.

The previous prime is 1024044991. The next prime is 1024045037. The reversal of 1024045000 is 5404201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2364784 + ... + 2365216.

It is an arithmetic number, because the mean of its divisors is an integer number (16778223).

Almost surely, 2^1024045000 is an apocalyptic number.

1024045000 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 1024045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342257840).

1024045000 is an abundant number, since it is smaller than the sum of its proper divisors (1660470680).

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

1024045000 is a wasteful number, since it uses less digits than its factorization.

1024045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 494 counting only the distinct ones).

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

The square root of 1024045000 is about 32000.7031172754. The cubic root of 1024045000 is about 1007.9516043994.

Adding to 1024045000 its reverse (5404201), we get a palindrome (1029449201).

The spelling of 1024045000 in words is "one billion, twenty-four million, forty-five thousand".