811144400 has 60 divisors (see below), whose sum is σ = 2125947264. Its totient is φ = 294960000.

The previous prime is 811144387. The next prime is 811144457. The reversal of 811144400 is 4441118.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87776 + ... + 96575.

Almost surely, 2^811144400 is an apocalyptic number.

811144400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

811144400 is an abundant number, since it is smaller than the sum of its proper divisors (1314802864).

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

811144400 is a wasteful number, since it uses less digits than its factorization.

811144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184380 (or 184369 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 811144400 is about 28480.5969038572. The cubic root of 811144400 is about 932.6085472857.

Adding to 811144400 its reverse (4441118), we get a palindrome (815585518).

The spelling of 811144400 in words is "eight hundred eleven million, one hundred forty-four thousand, four hundred".