1003042400 has 36 divisors (see below), whose sum is σ = 2448679212. Its totient is φ = 401216640.

The previous prime is 1003042379. The next prime is 1003042427. The reversal of 1003042400 is 42403001.

1003042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 626102 + ... + 627701.

It is an arithmetic number, because the mean of its divisors is an integer number (68018867).

Almost surely, 2^1003042400 is an apocalyptic number.

1003042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003042400 is an abundant number, since it is smaller than the sum of its proper divisors (1445636812).

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

1003042400 is a wasteful number, since it uses less digits than its factorization.

1003042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253823 (or 1253810 counting only the distinct ones).

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

The square root of 1003042400 is about 31670.8446366686. The cubic root of 1003042400 is about 1001.0131066017.

Adding to 1003042400 its reverse (42403001), we get a palindrome (1045445401).

The spelling of 1003042400 in words is "one billion, three million, forty-two thousand, four hundred".