811429000 has 32 divisors (see below), whose sum is σ = 1898746200. Its totient is φ = 324571200.

The previous prime is 811428997. The next prime is 811429001. The reversal of 811429000 is 924118.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 459416356 + 352012644 = 21434^2 + 18762^2 .

It is a super-3 number, since 3×811429000³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (811429001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 404715 + ... + 406714.

Almost surely, 2^811429000 is an apocalyptic number.

It is an amenable number.

811429000 is an abundant number, since it is smaller than the sum of its proper divisors (1087317200).

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

811429000 is a wasteful number, since it uses less digits than its factorization.

811429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811450 (or 811436 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 811429000 is about 28485.5928497197. The cubic root of 811429000 is about 932.7176069289.

The spelling of 811429000 in words is "eight hundred eleven million, four hundred twenty-nine thousand".