1002304400 has 60 divisors (see below), whose sum is σ = 2485745664. Its totient is φ = 387984000.

The previous prime is 1002304399. The next prime is 1002304403. The reversal of 1002304400 is 44032001.

It is a super-2 number, since 2×1002304400² = 2009228220518720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002304403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28016 + ... + 52815.

Almost surely, 2^1002304400 is an apocalyptic number.

1002304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002304400 is an abundant number, since it is smaller than the sum of its proper divisors (1483441264).

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

1002304400 is a wasteful number, since it uses less digits than its factorization.

1002304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80880 (or 80869 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1002304400 is about 31659.1913983917. The cubic root of 1002304400 is about 1000.7675440587.

Adding to 1002304400 its reverse (44032001), we get a palindrome (1046336401).

The spelling of 1002304400 in words is "one billion, two million, three hundred four thousand, four hundred".