82413450 has 336 divisors, whose sum is σ = 292749120. Its totient is φ = 16796160.

The previous prime is 82413449. The next prime is 82413473. The reversal of 82413450 is 5431428.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 167 ways as a sum of consecutive naturals, for example, 4337541 + ... + 4337559.

Almost surely, 2^82413450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82413450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146374560).

82413450 is an abundant number, since it is smaller than the sum of its proper divisors (210335670).

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

82413450 is a wasteful number, since it uses less digits than its factorization.

82413450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82413450 is about 9078.1853913654. The cubic root of 82413450 is about 435.1770979255.

Adding to 82413450 its reverse (5431428), we get a palindrome (87844878).

The spelling of 82413450 in words is "eighty-two million, four hundred thirteen thousand, four hundred fifty".