40284 has 24 divisors (see below), whose sum is σ = 104720. Its totient is φ = 13392.

The previous prime is 40283. The next prime is 40289. The reversal of 40284 is 48204.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 294.

2⁴⁰²⁸⁴ is an apocalyptic number.

It is an amenable number.

40284 is an abundant number, since it is smaller than the sum of its proper divisors (64436).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52360).

40284 is a wasteful number, since it uses less digits than its factorization.

40284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

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

The square root of 40284 is about 200.7087442041. The cubic root of 40284 is about 34.2802669917.

Adding to 40284 its reverse (48204), we get a palindrome (88488).

It can be divided in two parts, 40 and 284, that added together give a square (324 = 18²).

The spelling of 40284 in words is "forty thousand, two hundred eighty-four".