4283680 has 48 divisors (see below), whose sum is σ = 10382904. Its totient is φ = 1669120.

The previous prime is 4283663. The next prime is 4283687. The reversal of 4283680 is 863824.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 2572816 = 1308^2 + 1604^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4283687) 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, 6234 + ... + 6886.

Almost surely, 2^4283680 is an apocalyptic number.

4283680 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 4283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191452).

4283680 is an abundant number, since it is smaller than the sum of its proper divisors (6099224).

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

4283680 is a wasteful number, since it uses less digits than its factorization.

4283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4283680 is about 2069.7052930309. The cubic root of 4283680 is about 162.4073475770.

The spelling of 4283680 in words is "four million, two hundred eighty-three thousand, six hundred eighty".