829407460 has 24 divisors (see below), whose sum is σ = 1990578240. Its totient is φ = 284368224.

The previous prime is 829407443. The next prime is 829407461. The reversal of 829407460 is 64704928.

829407460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (829407461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2962030 + ... + 2962309.

It is an arithmetic number, because the mean of its divisors is an integer number (82940760).

Almost surely, 2^829407460 is an apocalyptic number.

It is an amenable number.

829407460 is an abundant number, since it is smaller than the sum of its proper divisors (1161170780).

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

829407460 is a wasteful number, since it uses less digits than its factorization.

829407460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924355 (or 5924353 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 829407460 is about 28799.4350639036. The cubic root of 829407460 is about 939.5559468957. Note that the first 3 decimals are identical.

The spelling of 829407460 in words is "eight hundred twenty-nine million, four hundred seven thousand, four hundred sixty".