1002400320 has 56 divisors (see below), whose sum is σ = 3182624064. Its totient is φ = 267306496.

The previous prime is 1002400313. The next prime is 1002400327. The reversal of 1002400320 is 230042001.

It is an interprime number because it is at equal distance from previous prime (1002400313) and next prime (1002400327).

It is a super-2 number, since 2×1002400320² = 2009612803072204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002400296 and 1002400305.

It is not an unprimeable number, because it can be changed into a prime (1002400327) 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, 521124 + ... + 523043.

Almost surely, 2^1002400320 is an apocalyptic number.

1002400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002400320 is an abundant number, since it is smaller than the sum of its proper divisors (2180223744).

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

1002400320 is a wasteful number, since it uses less digits than its factorization.

1002400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044187 (or 1044177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1002400320 is about 31660.7062460710. The cubic root of 1002400320 is about 1000.7994673483.

Adding to 1002400320 its reverse (230042001), we get a palindrome (1232442321).

The spelling of 1002400320 in words is "one billion, two million, four hundred thousand, three hundred twenty".