84282480 has 240 divisors, whose sum is σ = 305828640. Its totient is φ = 20736000.

The previous prime is 84282479. The next prime is 84282491. The reversal of 84282480 is 8428248.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 834430 + ... + 834530.

It is an arithmetic number, because the mean of its divisors is an integer number (1274286).

Almost surely, 2^84282480 is an apocalyptic number.

84282480 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 84282480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152914320).

84282480 is an abundant number, since it is smaller than the sum of its proper divisors (221546160).

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

84282480 is a wasteful number, since it uses less digits than its factorization.

84282480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84282480 is about 9180.5490031915. The cubic root of 84282480 is about 438.4422879537.

The spelling of 84282480 in words is "eighty-four million, two hundred eighty-two thousand, four hundred eighty".