4477152 has 48 divisors (see below), whose sum is σ = 11869200. Its totient is φ = 1477632.

The previous prime is 4477139. The next prime is 4477153. The reversal of 4477152 is 2517744.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4477152² = 40089780062208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477153) 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 7 ways as a sum of consecutive naturals, for example, 14148 + ... + 14460.

It is an arithmetic number, because the mean of its divisors is an integer number (247275).

Almost surely, 2^4477152 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 4477152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934600).

4477152 is an abundant number, since it is smaller than the sum of its proper divisors (7392048).

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

4477152 is a wasteful number, since it uses less digits than its factorization.

4477152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 4477152 is about 2115.9281651323. The cubic root of 4477152 is about 164.8164717881.

It can be divided in two parts, 447 and 7152, that multiplied together give a square (3196944 = 1788²).

The spelling of 4477152 in words is "four million, four hundred seventy-seven thousand, one hundred fifty-two".