829978451 has 8 divisors (see below), whose sum is σ = 833717664. Its totient is φ = 826246720.

The previous prime is 829978433. The next prime is 829978481. The reversal of 829978451 is 154879928.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 829978451 - 2¹⁰ = 829977427 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829978393 and 829978402.

It is not an unprimeable number, because it can be changed into a prime (829978481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369905 + ... + 372141.

It is an arithmetic number, because the mean of its divisors is an integer number (104214708).

Almost surely, 2^829978451 is an apocalyptic number.

829978451 is a deficient number, since it is larger than the sum of its proper divisors (3739213).

829978451 is a wasteful number, since it uses less digits than its factorization.

829978451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741.

The product of its digits is 1451520, while the sum is 53.

The square root of 829978451 is about 28809.3465909937. The cubic root of 829978451 is about 939.7715043681.

The spelling of 829978451 in words is "eight hundred twenty-nine million, nine hundred seventy-eight thousand, four hundred fifty-one".