825171480 has 192 divisors, whose sum is σ = 3130583040. Its totient is φ = 184571136.

The previous prime is 825171427. The next prime is 825171491. The reversal of 825171480 is 84171528.

825171480 is a `hidden beast` number, since 8 + 2 + 5 + 171 + 480 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114957 + ... + 121923.

It is an arithmetic number, because the mean of its divisors is an integer number (16305120).

Almost surely, 2^825171480 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 825171480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565291520).

825171480 is an abundant number, since it is smaller than the sum of its proper divisors (2305411560).

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

825171480 is a wasteful number, since it uses less digits than its factorization.

825171480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 825171480 is about 28725.7981612348. The cubic root of 825171480 is about 937.9537046601.

The spelling of 825171480 in words is "eight hundred twenty-five million, one hundred seventy-one thousand, four hundred eighty".