4257936 has 30 divisors (see below), whose sum is σ = 11916710. Its totient is φ = 1419264.

The previous prime is 4257931. The next prime is 4257937. The reversal of 4257936 is 6397524.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 571536 = 1920^2 + 756^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 4¹¹ + 2⁷ + 5 + 7⁵ + 9 + 3³ + 6⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 4257936.

It is not an unprimeable number, because it can be changed into a prime (4257931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14641 + ... + 14928.

Almost surely, 2^4257936 is an apocalyptic number.

It is an amenable number.

4257936 is an abundant number, since it is smaller than the sum of its proper divisors (7658774).

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

4257936 is a wasteful number, since it uses less digits than its factorization.

4257936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29583 (or 29574 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 4257936 is about 2063.4766778425. The cubic root of 4257936 is about 162.0813491752.

The spelling of 4257936 in words is "four million, two hundred fifty-seven thousand, nine hundred thirty-six".