4284672 has 72 divisors (see below), whose sum is σ = 13048896. Its totient is φ = 1222656.

The previous prime is 4284667. The next prime is 4284677. The reversal of 4284672 is 2764824.

It is an interprime number because it is at equal distance from previous prime (4284667) and next prime (4284677).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4284677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4978 + ... + 5774.

Almost surely, 2^4284672 is an apocalyptic number.

4284672 is a gapful number since it is divisible by the number (42) 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 4284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524448).

4284672 is an abundant number, since it is smaller than the sum of its proper divisors (8764224).

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

4284672 is an equidigital number, since it uses as much as digits as its factorization.

4284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 4284672 is about 2069.9449268036. The cubic root of 4284672 is about 162.4198831892.

The spelling of 4284672 in words is "four million, two hundred eighty-four thousand, six hundred seventy-two".