829836460 has 48 divisors (see below), whose sum is σ = 1758506400. Its totient is φ = 328932864.

The previous prime is 829836401. The next prime is 829836463. The reversal of 829836460 is 64638928.

It is a happy number.

829836460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 829836460.

It is not an unprimeable number, because it can be changed into a prime (829836463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1872999 + ... + 1873441.

It is an arithmetic number, because the mean of its divisors is an integer number (36635550).

Almost surely, 2^829836460 is an apocalyptic number.

It is an amenable number.

829836460 is an abundant number, since it is smaller than the sum of its proper divisors (928669940).

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

829836460 is a wasteful number, since it uses less digits than its factorization.

829836460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 829836460 is about 28806.8821638163. The cubic root of 829836460 is about 939.7179099221.

The spelling of 829836460 in words is "eight hundred twenty-nine million, eight hundred thirty-six thousand, four hundred sixty".