829670416 has 45 divisors (see below), whose sum is σ = 1701032031. Its totient is φ = 391964832.

The previous prime is 829670399. The next prime is 829670441. The reversal of 829670416 is 614076928.

The square root of 829670416 is 28804.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×829670416² = 1376705998371226112, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2188915 + ... + 2189293.

Almost surely, 2^829670416 is an apocalyptic number.

829670416 is the 28804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829670416

829670416 is an abundant number, since it is smaller than the sum of its proper divisors (871361615).

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

829670416 is an equidigital number, since it uses as much as digits as its factorization.

829670416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 829670416 is about 939.6552289255.

The spelling of 829670416 in words is "eight hundred twenty-nine million, six hundred seventy thousand, four hundred sixteen".