818449632 has 576 divisors, whose sum is σ = 3328625664. Its totient is φ = 183582720.

The previous prime is 818449579. The next prime is 818449669. The reversal of 818449632 is 236944818.

It is a happy number.

818449632 is a `hidden beast` number, since 8 + 1 + 8 + 4 + 4 + 9 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 4900813 + ... + 4900979.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2^818449632 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 818449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664312832).

818449632 is an abundant number, since it is smaller than the sum of its proper divisors (2510176032).

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

818449632 is a wasteful number, since it uses less digits than its factorization.

818449632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 818449632 is about 28608.5587193763. The cubic root of 818449632 is about 935.3999002392.

The spelling of 818449632 in words is "eight hundred eighteen million, four hundred forty-nine thousand, six hundred thirty-two".