825150456 has 128 divisors (see below), whose sum is σ = 2553768000. Its totient is φ = 245113344.

The previous prime is 825150451. The next prime is 825150479. The reversal of 825150456 is 654051528.

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 825150456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825150451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76366 + ... + 86498.

Almost surely, 2^825150456 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 825150456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276884000).

825150456 is an abundant number, since it is smaller than the sum of its proper divisors (1728617544).

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

825150456 is a wasteful number, since it uses less digits than its factorization.

825150456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 825150456 is about 28725.4322160694. The cubic root of 825150456 is about 937.9457387578.

The spelling of 825150456 in words is "eight hundred twenty-five million, one hundred fifty thousand, four hundred fifty-six".