82480464 has 160 divisors (see below), whose sum is σ = 273732480. Its totient is φ = 23500800.

The previous prime is 82480457. The next prime is 82480499. The reversal of 82480464 is 46408428.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80274 + ... + 81294.

It is an arithmetic number, because the mean of its divisors is an integer number (1710828).

Almost surely, 2^82480464 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 82480464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136866240).

82480464 is an abundant number, since it is smaller than the sum of its proper divisors (191252016).

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

82480464 is a wasteful number, since it uses less digits than its factorization.

82480464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

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

The square root of 82480464 is about 9081.8755772142. The cubic root of 82480464 is about 435.2950198466.

Subtracting from 82480464 its reverse (46408428), we obtain a square (36072036 = 6006²).

It can be divided in two parts, 82480 and 464, that added together give a square (82944 = 288²).

The spelling of 82480464 in words is "eighty-two million, four hundred eighty thousand, four hundred sixty-four".