829742418 has 48 divisors (see below), whose sum is σ = 1849685760. Its totient is φ = 268682688.

The previous prime is 829742413. The next prime is 829742471. The reversal of 829742418 is 814247928.

It is not an unprimeable number, because it can be changed into a prime (829742413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112323 + ... + 119481.

It is an arithmetic number, because the mean of its divisors is an integer number (38535120).

Almost surely, 2^829742418 is an apocalyptic number.

829742418 is an abundant number, since it is smaller than the sum of its proper divisors (1019943342).

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

829742418 is a wasteful number, since it uses less digits than its factorization.

829742418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7351 (or 7348 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 829742418 is about 28805.2498340146. The cubic root of 829742418 is about 939.6824104414.

The spelling of 829742418 in words is "eight hundred twenty-nine million, seven hundred forty-two thousand, four hundred eighteen".