4259112 has 128 divisors (see below), whose sum is σ = 13426560. Its totient is φ = 1105920.

The previous prime is 4259063. The next prime is 4259113. The reversal of 4259112 is 2119524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4259113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58308 + ... + 58380.

It is an arithmetic number, because the mean of its divisors is an integer number (104895).

Almost surely, 2^4259112 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 4259112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713280).

4259112 is an abundant number, since it is smaller than the sum of its proper divisors (9167448).

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

4259112 is a wasteful number, since it uses less digits than its factorization.

4259112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 4259112 is about 2063.7616141405. The cubic root of 4259112 is about 162.0962695593.

It can be divided in two parts, 4259 and 112, that added together give a triangular number (4371 = T₉₃).

The spelling of 4259112 in words is "four million, two hundred fifty-nine thousand, one hundred twelve".