4485672 has 64 divisors (see below), whose sum is σ = 13128000. Its totient is φ = 1415232.

The previous prime is 4485661. The next prime is 4485683. The reversal of 4485672 is 2765844.

It is an interprime number because it is at equal distance from previous prime (4485661) and next prime (4485683).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁷ + 4⁹ + 8⁴ + 5⁴ + 6⁵ + 7³ + 2²² .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3558 + ... + 4650.

It is an arithmetic number, because the mean of its divisors is an integer number (205125).

Almost surely, 2^4485672 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 4485672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564000).

4485672 is an abundant number, since it is smaller than the sum of its proper divisors (8642328).

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

4485672 is a wasteful number, since it uses less digits than its factorization.

4485672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4485672 is about 2117.9405090795. The cubic root of 4485672 is about 164.9209538732.

The spelling of 4485672 in words is "four million, four hundred eighty-five thousand, six hundred seventy-two".