821825466 has 192 divisors, whose sum is σ = 2206310400. Its totient is φ = 199330560.

The previous prime is 821825437. The next prime is 821825467. The reversal of 821825466 is 664528128.

It is a super-2 number, since 2×821825466² = 1350794193132234312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (821825467) 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 95 ways as a sum of consecutive naturals, for example, 9233950 + ... + 9234038.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 2^821825466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821825466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103155200).

821825466 is an abundant number, since it is smaller than the sum of its proper divisors (1384484934).

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

821825466 is a wasteful number, since it uses less digits than its factorization.

821825466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 821825466 is about 28667.4984259178. The cubic root of 821825466 is about 936.6842077968.

The spelling of 821825466 in words is "eight hundred twenty-one million, eight hundred twenty-five thousand, four hundred sixty-six".