816440352 has 288 divisors, whose sum is σ = 2734905600. Its totient is φ = 212599296.

The previous prime is 816440341. The next prime is 816440357. The reversal of 816440352 is 253044618.

It is not an unprimeable number, because it can be changed into a prime (816440357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10334649 + ... + 10334727.

It is an arithmetic number, because the mean of its divisors is an integer number (9496200).

Almost surely, 2^816440352 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 816440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367452800).

816440352 is an abundant number, since it is smaller than the sum of its proper divisors (1918465248).

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

816440352 is a wasteful number, since it uses less digits than its factorization.

816440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 816440352 is about 28573.4203762868. The cubic root of 816440352 is about 934.6338093401.

It can be divided in two parts, 8164 and 40352, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 816440352 in words is "eight hundred sixteen million, four hundred forty thousand, three hundred fifty-two".