4251456 has 126 divisors (see below), whose sum is σ = 13614146. Its totient is φ = 1267200.

The previous prime is 4251451. The next prime is 4251461. The reversal of 4251456 is 6541524.

It is an interprime number because it is at equal distance from previous prime (4251451) and next prime (4251461).

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 1742400 = 1584^2 + 1320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69666 + ... + 69726.

Almost surely, 2^4251456 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 4251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807073).

4251456 is an abundant number, since it is smaller than the sum of its proper divisors (9362690).

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

4251456 is a wasteful number, since it uses less digits than its factorization.

4251456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 4251456 is about 2061.9059144394. The cubic root of 4251456 is about 161.9990855001. Note that the first 3 decimals are identical.

It can be divided in two parts, 425 and 1456, that added together give a palindrome (1881).

The spelling of 4251456 in words is "four million, two hundred fifty-one thousand, four hundred fifty-six".