1030436800 has 84 divisors (see below), whose sum is σ = 2645852976. Its totient is φ = 394240000.

The previous prime is 1030436779. The next prime is 1030436831. The reversal of 1030436800 is 86340301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22800 + ... + 50800.

Almost surely, 2^1030436800 is an apocalyptic number.

1030436800 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 1030436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322926488).

1030436800 is an abundant number, since it is smaller than the sum of its proper divisors (1615416176).

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

1030436800 is a wasteful number, since it uses less digits than its factorization.

1030436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28046 (or 28031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1030436800 is about 32100.4174427686. The cubic root of 1030436800 is about 1010.0443727850.

The spelling of 1030436800 in words is "one billion, thirty million, four hundred thirty-six thousand, eight hundred".