9282420 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2066688.

The previous prime is 9282419. The next prime is 9282437. The reversal of 9282420 is 242829.

9282420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 66711 + ... + 66849.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^9282420 is an apocalyptic number.

9282420 is a gapful number since it is divisible by the number (90) 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 9282420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

9282420 is an abundant number, since it is smaller than the sum of its proper divisors (23739660).

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

9282420 is a wasteful number, since it uses less digits than its factorization.

9282420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9282420 is about 3046.7064184132. The cubic root of 9282420 is about 210.1617800975.

The spelling of 9282420 in words is "nine million, two hundred eighty-two thousand, four hundred twenty".