1024000000 has 119 divisors (see below), whose sum is σ = 2559947701. Its totient is φ = 409600000.

The previous prime is 1023999989. The next prime is 1024000009. The reversal of 1024000000 is 4201.

The square root of 1024000000 is 32000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 897122304 + 126877696 = 29952^2 + 11264^2 .

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1024000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 204799998 + ... + 204800002.

Almost surely, 2^1024000000 is an apocalyptic number.

1024000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1024000000 is the 32000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024000000

1024000000 is an abundant number, since it is smaller than the sum of its proper divisors (1535947701).

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

1024000000 is an frugal number, since it uses more digits than its factorization.

1024000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The cubic root of 1024000000 is about 1007.9368399159.

Adding to 1024000000 its reverse (4201), we get a palindrome (1024004201).

The spelling of 1024000000 in words is "one billion, twenty-four million", and thus it is an aban number.