1030350400 has 42 divisors (see below), whose sum is σ = 2535309890. Its totient is φ = 412139520.

The previous prime is 1030350361. The next prime is 1030350407. The reversal of 1030350400 is 40530301.

1030350400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 295289856 + 735060544 = 17184^2 + 27112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1030350407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 320385 + ... + 323584.

Almost surely, 2^1030350400 is an apocalyptic number.

1030350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030350400 is an abundant number, since it is smaller than the sum of its proper divisors (1504959490).

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

1030350400 is an equidigital number, since it uses as much as digits as its factorization.

1030350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643991 (or 643976 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1030350400 is about 32099.0716376658. The cubic root of 1030350400 is about 1010.0161419503.

Adding to 1030350400 its reverse (40530301), we get a palindrome (1070880701).

The spelling of 1030350400 in words is "one billion, thirty million, three hundred fifty thousand, four hundred".