829276440 has 32 divisors (see below), whose sum is σ = 2487829680. Its totient is φ = 221140352.

The previous prime is 829276397. The next prime is 829276453. The reversal of 829276440 is 44672928.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 829276392 and 829276401.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3455199 + ... + 3455438.

Almost surely, 2^829276440 is an apocalyptic number.

It is an amenable number.

829276440 is an abundant number, since it is smaller than the sum of its proper divisors (1658553240).

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

829276440 is a wasteful number, since it uses less digits than its factorization.

829276440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910651 (or 6910647 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 829276440 is about 28797.1602766662. The cubic root of 829276440 is about 939.5064709711.

The spelling of 829276440 in words is "eight hundred twenty-nine million, two hundred seventy-six thousand, four hundred forty".