829474425 has 108 divisors (see below), whose sum is σ = 1665687660. Its totient is φ = 407306880.

The previous prime is 829474417. The next prime is 829474427. The reversal of 829474425 is 524474928.

829474425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 174319209 + 655155216 = 13203^2 + 25596^2 .

It is not a de Polignac number, because 829474425 - 2³ = 829474417 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (829474427) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2132131 + ... + 2132519.

Almost surely, 2^829474425 is an apocalyptic number.

It is an amenable number.

829474425 is an abundant number, since it is smaller than the sum of its proper divisors (836213235).

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

829474425 is an equidigital number, since it uses as much as digits as its factorization.

829474425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 410 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 829474425 is about 28800.5976500489. The cubic root of 829474425 is about 939.5812322847.

The spelling of 829474425 in words is "eight hundred twenty-nine million, four hundred seventy-four thousand, four hundred twenty-five".