282420 has 48 divisors (see below), whose sum is σ = 880320. Its totient is φ = 75168.

The previous prime is 282413. The next prime is 282427. The reversal of 282420 is 24282.

It is an interprime number because it is at equal distance from previous prime (282413) and next prime (282427).

It is a super-2 number, since 2×282420² = 159522112800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 282393 and 282402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282427) by changing a digit.

282420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (18340).

2²⁸²⁴²⁰ is an apocalyptic number.

282420 is a gapful number since it is divisible by the number (20) 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 282420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440160).

282420 is an abundant number, since it is smaller than the sum of its proper divisors (597900).

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

282420 is a wasteful number, since it uses less digits than its factorization.

282420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

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

The square root of 282420 is about 531.4320276385. The cubic root of 282420 is about 65.6092615320.

The spelling of 282420 in words is "two hundred eighty-two thousand, four hundred twenty".