825414912 has 216 divisors, whose sum is σ = 2767739520. Its totient is φ = 231690240.

The previous prime is 825414899. The next prime is 825414949. The reversal of 825414912 is 219414528.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983389 + ... + 984227.

Almost surely, 2^825414912 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 825414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383869760).

825414912 is an abundant number, since it is smaller than the sum of its proper divisors (1942324608).

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

825414912 is a wasteful number, since it uses less digits than its factorization.

825414912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 912 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 825414912 is about 28730.0350156417. The cubic root of 825414912 is about 938.0459301359.

The spelling of 825414912 in words is "eight hundred twenty-five million, four hundred fourteen thousand, nine hundred twelve".