4257120 has 144 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 967680.

The previous prime is 4257101. The next prime is 4257131. The reversal of 4257120 is 217524.

4257120 = T₁₂₀ + T₁₂₁ + ... + T₃₀₀.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23430 + ... + 23610.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 2^4257120 is an apocalyptic number.

4257120 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 4257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

4257120 is an abundant number, since it is smaller than the sum of its proper divisors (11428368).

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

4257120 is a wasteful number, since it uses less digits than its factorization.

4257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 4257120 is about 2063.2789438173. The cubic root of 4257120 is about 162.0709946411.

The spelling of 4257120 in words is "four million, two hundred fifty-seven thousand, one hundred twenty".