1030431400 has 96 divisors (see below), whose sum is σ = 2440692000. Its totient is φ = 404529920.

The previous prime is 1030431379. The next prime is 1030431419. The reversal of 1030431400 is 41340301.

1030431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3830466 + ... + 3830734.

It is an arithmetic number, because the mean of its divisors is an integer number (25423875).

Almost surely, 2^1030431400 is an apocalyptic number.

1030431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220346000).

1030431400 is an abundant number, since it is smaller than the sum of its proper divisors (1410260600).

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

1030431400 is a wasteful number, since it uses less digits than its factorization.

1030431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1030431400 is about 32100.3333316026. Note that the first 5 decimals coincide. The cubic root of 1030431400 is about 1010.0426084041.

Adding to 1030431400 its reverse (41340301), we get a palindrome (1071771701).

The spelling of 1030431400 in words is "one billion, thirty million, four hundred thirty-one thousand, four hundred".