825031476 has 72 divisors (see below), whose sum is σ = 2156754600. Its totient is φ = 265718016.

The previous prime is 825031453. The next prime is 825031477. The reversal of 825031476 is 674130528.

825031476 is a `hidden beast` number, since 8 + 2 + 503 + 147 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113422500 + 711608976 = 10650^2 + 26676^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 825031476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825031477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196390 + ... + 200546.

It is an arithmetic number, because the mean of its divisors is an integer number (29954925).

Almost surely, 2^825031476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825031476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078377300).

825031476 is an abundant number, since it is smaller than the sum of its proper divisors (1331723124).

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

825031476 is a wasteful number, since it uses less digits than its factorization.

825031476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 825031476 is about 28723.3611542939. The cubic root of 825031476 is about 937.9006552027.

The spelling of 825031476 in words is "eight hundred twenty-five million, thirty-one thousand, four hundred seventy-six".