82455408 has 200 divisors, whose sum is σ = 279074400. Its totient is φ = 23016960.

The previous prime is 82455379. The next prime is 82455419. The reversal of 82455408 is 80455428.

82455408 is a `hidden beast` number, since 8 + 245 + 5 + 408 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 553318 + ... + 553466.

It is an arithmetic number, because the mean of its divisors is an integer number (1395372).

Almost surely, 2^82455408 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 82455408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139537200).

82455408 is an abundant number, since it is smaller than the sum of its proper divisors (196618992).

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

82455408 is a wasteful number, since it uses less digits than its factorization.

82455408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 82455408 is about 9080.4960216940. The cubic root of 82455408 is about 435.2509372599.

The spelling of 82455408 in words is "eighty-two million, four hundred fifty-five thousand, four hundred eight".