82441456 has 40 divisors (see below), whose sum is σ = 169433600. Its totient is φ = 38750400.

The previous prime is 82441451. The next prime is 82441459. The reversal of 82441456 is 65414428.

It is a super-3 number, since 3×82441456³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82441451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41281 + ... + 43231.

It is an arithmetic number, because the mean of its divisors is an integer number (4235840).

Almost surely, 2^82441456 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 82441456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84716800).

82441456 is an abundant number, since it is smaller than the sum of its proper divisors (86992144).

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

82441456 is a wasteful number, since it uses less digits than its factorization.

82441456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2111 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 82441456 is about 9079.7277492224. The cubic root of 82441456 is about 435.2263867634.

The spelling of 82441456 in words is "eighty-two million, four hundred forty-one thousand, four hundred fifty-six".