4282632 has 48 divisors (see below), whose sum is σ = 12033840. Its totient is φ = 1426896.

The previous prime is 4282631. The next prime is 4282651. The reversal of 4282632 is 2362824.

4282632 is a `hidden beast` number, since 4 + 28 + 2 + 632 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4282596 and 4282605.

It is not an unprimeable number, because it can be changed into a prime (4282631) 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 11 ways as a sum of consecutive naturals, for example, 843 + ... + 3045.

It is an arithmetic number, because the mean of its divisors is an integer number (250705).

Almost surely, 2^4282632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016920).

4282632 is an abundant number, since it is smaller than the sum of its proper divisors (7751208).

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

4282632 is a wasteful number, since it uses less digits than its factorization.

4282632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2208 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4282632 is about 2069.4521014027. The cubic root of 4282632 is about 162.3941022068.

The spelling of 4282632 in words is "four million, two hundred eighty-two thousand, six hundred thirty-two".