1002400512 has 72 divisors (see below), whose sum is σ = 2824816176. Its totient is φ = 314474496.

The previous prime is 1002400489. The next prime is 1002400517. The reversal of 1002400512 is 2150042001.

It is a junction number, because it is equal to n+sod(n) for n = 1002400491 and 1002400500.

It is not an unprimeable number, because it can be changed into a prime (1002400517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25333 + ... + 51444.

It is an arithmetic number, because the mean of its divisors is an integer number (39233558).

Almost surely, 2^1002400512 is an apocalyptic number.

1002400512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002400512 is an abundant number, since it is smaller than the sum of its proper divisors (1822415664).

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

1002400512 is an equidigital number, since it uses as much as digits as its factorization.

1002400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76813 (or 76799 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1002400512 is about 31660.7092782205. The cubic root of 1002400512 is about 1000.7995312461.

Adding to 1002400512 its reverse (2150042001), we get a palindrome (3152442513).

The spelling of 1002400512 in words is "one billion, two million, four hundred thousand, five hundred twelve".