829272465 has 64 divisors (see below), whose sum is σ = 1720811520. Its totient is φ = 371010240.

The previous prime is 829272439. The next prime is 829272469. The reversal of 829272465 is 564272928.

829272465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829272465 - 2⁸ = 829272209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 829272465.

It is not an unprimeable number, because it can be changed into a prime (829272469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35080 + ... + 53750.

It is an arithmetic number, because the mean of its divisors is an integer number (26887680).

Almost surely, 2^829272465 is an apocalyptic number.

It is an amenable number.

829272465 is an abundant number, since it is smaller than the sum of its proper divisors (891539055).

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

829272465 is a wasteful number, since it uses less digits than its factorization.

829272465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18739 (or 18733 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 829272465 is about 28797.0912593616. The cubic root of 829272465 is about 939.5049698456.

The spelling of 829272465 in words is "eight hundred twenty-nine million, two hundred seventy-two thousand, four hundred sixty-five".