4457120 has 48 divisors (see below), whose sum is σ = 10682280. Its totient is φ = 1757184.

The previous prime is 4457113. The next prime is 4457129. The reversal of 4457120 is 217544.

It can be written as a sum of positive squares in 4 ways, for example, as 1373584 + 3083536 = 1172^2 + 1756^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4457129) 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, 14084 + ... + 14396.

Almost surely, 2^4457120 is an apocalyptic number.

4457120 is a gapful number since it is divisible by the number (40) 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 4457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341140).

4457120 is an abundant number, since it is smaller than the sum of its proper divisors (6225160).

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

4457120 is a wasteful number, since it uses less digits than its factorization.

4457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 4457120 is about 2111.1892383204. The cubic root of 4457120 is about 164.5702929724.

It can be divided in two parts, 445 and 7120, that multiplied together give a square (3168400 = 1780²).

The spelling of 4457120 in words is "four million, four hundred fifty-seven thousand, one hundred twenty".