4256000 has 144 divisors (see below), whose sum is σ = 12754560. Its totient is φ = 1382400.

The previous prime is 4255997. The next prime is 4256003. The reversal of 4256000 is 6524.

It is an interprime number because it is at equal distance from previous prime (4255997) and next prime (4256003).

It is a super-2 number, since 2×4256000² = 36227072000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4256000.

It is not an unprimeable number, because it can be changed into a prime (4256003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223991 + ... + 224009.

Almost surely, 2^4256000 is an apocalyptic number.

4256000 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 4256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377280).

4256000 is an abundant number, since it is smaller than the sum of its proper divisors (8498560).

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

4256000 is an equidigital number, since it uses as much as digits as its factorization.

4256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4256000 is about 2063.0075133164. The cubic root of 4256000 is about 162.0567803809.

The spelling of 4256000 in words is "four million, two hundred fifty-six thousand".