4257312 has 48 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1393920.

The previous prime is 4257289. The next prime is 4257313. The reversal of 4257312 is 2137524.

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

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 4¹⁰ + 2¹⁵ + 5⁷ + 7⁷ + 3¹¹ + 1 + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (4257313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5493 + ... + 6219.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^4257312 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 4257312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

4257312 is an abundant number, since it is smaller than the sum of its proper divisors (7116960).

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

4257312 is a wasteful number, since it uses less digits than its factorization.

4257312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 4257312 is about 2063.3254711751. The cubic root of 4257312 is about 162.0734311211.

The spelling of 4257312 in words is "four million, two hundred fifty-seven thousand, three hundred twelve".