4457880 has 192 divisors, whose sum is σ = 17409600. Its totient is φ = 967680.

The previous prime is 4457867. The next prime is 4457881. The reversal of 4457880 is 887544.

4457880 is a `hidden beast` number, since 4 + 4 + 578 + 80 = 666.

It is a super-4 number, since 4×4457880⁴ (a number of 28 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457881) 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 47 ways as a sum of consecutive naturals, for example, 73050 + ... + 73110.

It is an arithmetic number, because the mean of its divisors is an integer number (90675).

Almost surely, 2^4457880 is an apocalyptic number.

4457880 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 4457880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

4457880 is an abundant number, since it is smaller than the sum of its proper divisors (12951720).

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

4457880 is a wasteful number, since it uses less digits than its factorization.

4457880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4457880 is about 2111.3692239871. The cubic root of 4457880 is about 164.5796462704.

The spelling of 4457880 in words is "four million, four hundred fifty-seven thousand, eight hundred eighty".