4385472 has 112 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 1152000.

The previous prime is 4385461. The next prime is 4385489. The reversal of 4385472 is 2745834.

It is a tau number, because it is divible by the number of its divisors (112).

It is an alternating number because its digits alternate between even and odd.

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, 17347 + ... + 17597.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 2^4385472 is an apocalyptic number.

4385472 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 4385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

4385472 is an abundant number, since it is smaller than the sum of its proper divisors (9952320).

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

4385472 is a wasteful number, since it uses less digits than its factorization.

4385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 4385472 is about 2094.1518569578. The cubic root of 4385472 is about 163.6837052697.

The spelling of 4385472 in words is "four million, three hundred eighty-five thousand, four hundred seventy-two".