4282720 has 96 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1505280.

The previous prime is 4282711. The next prime is 4282723. The reversal of 4282720 is 272824.

4282720 = 224² + 225² + ... + 288².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282723) 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, 60285 + ... + 60355.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 2^4282720 is an apocalyptic number.

4282720 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 4282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4282720 is an abundant number, since it is smaller than the sum of its proper divisors (7148000).

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

4282720 is a wasteful number, since it uses less digits than its factorization.

4282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 4282720 is about 2069.4733629598. The cubic root of 4282720 is about 162.3952144966.

The spelling of 4282720 in words is "four million, two hundred eighty-two thousand, seven hundred twenty".