82464480 has 336 divisors, whose sum is σ = 337133664. Its totient is φ = 18662400.

The previous prime is 82464469. The next prime is 82464491. The reversal of 82464480 is 8446428.

82464480 is a `hidden beast` number, since 8 + 2 + 4 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82464469) and next prime (82464491).

It is a tau number, because it is divible by the number of its divisors (336).

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 55 ways as a sum of consecutive naturals, for example, 816430 + ... + 816530.

It is an arithmetic number, because the mean of its divisors is an integer number (1003374).

Almost surely, 2^82464480 is an apocalyptic number.

82464480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168566832).

82464480 is an abundant number, since it is smaller than the sum of its proper divisors (254669184).

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

82464480 is a wasteful number, since it uses less digits than its factorization.

82464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 82464480 is about 9080.9955401377. The cubic root of 82464480 is about 435.2668992276.

It can be divided in two parts, 82464 and 480, that added together give a square (82944 = 288²).

The spelling of 82464480 in words is "eighty-two million, four hundred sixty-four thousand, four hundred eighty".