420282 has 32 divisors (see below), whose sum is σ = 960960. Its totient is φ = 136080.

The previous prime is 420271. The next prime is 420293. The reversal of 420282 is 282024.

It is an interprime number because it is at equal distance from previous prime (420271) and next prime (420293).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2232 + ... + 2412.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁴²⁰²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480480).

420282 is an abundant number, since it is smaller than the sum of its proper divisors (540678).

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

420282 is a wasteful number, since it uses less digits than its factorization.

420282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 420282 is about 648.2916010562. The cubic root of 420282 is about 74.9054809320.

The spelling of 420282 in words is "four hundred twenty thousand, two hundred eighty-two".