829397456 has 40 divisors (see below), whose sum is σ = 1650564000. Its totient is φ = 403587200.

The previous prime is 829397449. The next prime is 829397521. The reversal of 829397456 is 654793928.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 829397398 and 829397407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90995 + ... + 99693.

It is an arithmetic number, because the mean of its divisors is an integer number (41264100).

Almost surely, 2^829397456 is an apocalyptic number.

It is an amenable number.

829397456 is a deficient number, since it is larger than the sum of its proper divisors (821166544).

829397456 is a wasteful number, since it uses less digits than its factorization.

829397456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8867 (or 8861 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The square root of 829397456 is about 28799.2613794174. The cubic root of 829397456 is about 939.5521693573.

The spelling of 829397456 in words is "eight hundred twenty-nine million, three hundred ninety-seven thousand, four hundred fifty-six".