4255680 has 224 divisors, whose sum is σ = 16386048. Its totient is φ = 921600.

The previous prime is 4255679. The next prime is 4255697. The reversal of 4255680 is 865524.

It is a super-2 number, since 2×4255680² = 36221624524800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137265 + ... + 137295.

It is an arithmetic number, because the mean of its divisors is an integer number (73152).

Almost surely, 2^4255680 is an apocalyptic number.

4255680 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 4255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024).

4255680 is an abundant number, since it is smaller than the sum of its proper divisors (12130368).

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

4255680 is a wasteful number, since it uses less digits than its factorization.

4255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4255680 is about 2062.9299551851. The cubic root of 4255680 is about 162.0527187056.

It can be divided in two parts, 425 and 5680, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 4255680 in words is "four million, two hundred fifty-five thousand, six hundred eighty".