1011430800 has 600 divisors, whose sum is σ = 4018671360. Its totient is φ = 242611200.

The previous prime is 1011430789. The next prime is 1011430843. The reversal of 1011430800 is 80341101.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19083574 + ... + 19083626.

Almost surely, 2^1011430800 is an apocalyptic number.

1011430800 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 1011430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009335680).

1011430800 is an abundant number, since it is smaller than the sum of its proper divisors (3007240560).

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

1011430800 is a wasteful number, since it uses less digits than its factorization.

1011430800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011430800 is about 31802.9998585039. Note that the first 3 decimals coincide. The cubic root of 1011430800 is about 1003.7958400344.

Adding to 1011430800 its reverse (80341101), we get a palindrome (1091771901).

The spelling of 1011430800 in words is "one billion, eleven million, four hundred thirty thousand, eight hundred".