4285008 has 160 divisors (see below), whose sum is σ = 15276800. Its totient is φ = 1119744.

The previous prime is 4284989. The next prime is 4285009. The reversal of 4285008 is 8005824.

4285008 = 74³ + 75³ + ... + 82³.

It is a super-2 number, since 2×4285008² = 36722587120128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39258 + ... + 39366.

It is an arithmetic number, because the mean of its divisors is an integer number (95480).

Almost surely, 2^4285008 is an apocalyptic number.

4285008 is a gapful number since it is divisible by the number (48) 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 4285008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638400).

4285008 is an abundant number, since it is smaller than the sum of its proper divisors (10991792).

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

4285008 is a wasteful number, since it uses less digits than its factorization.

4285008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4285008 is about 2070.0260867921. The cubic root of 4285008 is about 162.4241286837.

The spelling of 4285008 in words is "four million, two hundred eighty-five thousand, eight".