42284000 has 144 divisors (see below), whose sum is σ = 117110448. Its totient is φ = 14880000.

The previous prime is 42283991. The next prime is 42284017. The reversal of 42284000 is 48224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1363985 + ... + 1364015.

It is an arithmetic number, because the mean of its divisors is an integer number (813267).

Almost surely, 2^42284000 is an apocalyptic number.

42284000 is a gapful number since it is divisible by the number (40) 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 42284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58555224).

42284000 is an abundant number, since it is smaller than the sum of its proper divisors (74826448).

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

42284000 is a wasteful number, since it uses less digits than its factorization.

42284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 42284000 is about 6502.6148586549. The cubic root of 42284000 is about 348.3843905125.

It can be divided in two parts, 4228 and 4000, that added together give a palindrome (8228).

The spelling of 42284000 in words is "forty-two million, two hundred eighty-four thousand".