4225320 has 144 divisors (see below), whose sum is σ = 15249780. Its totient is φ = 1013760.

The previous prime is 4225303. The next prime is 4225339. The reversal of 4225320 is 235224.

Added to its reverse (235224) it gives a square (4460544 = 2112²).

It can be written as a sum of positive squares in 2 ways, for example, as 4186116 + 39204 = 2046^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 4² + 2¹³ + 2²¹ + 5⁵ + 3⁹ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4225293 and 4225302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43512 + ... + 43608.

Almost surely, 2^4225320 is an apocalyptic number.

4225320 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 4225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624890).

4225320 is an abundant number, since it is smaller than the sum of its proper divisors (11024460).

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

4225320 is a wasteful number, since it uses less digits than its factorization.

4225320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4225320 is about 2055.5583183165. The cubic root of 4225320 is about 161.6664375713. Note that the first 3 decimals are identical.

Adding to 4225320 its reverse (235224), we get a square (4460544 = 2112²).

The spelling of 4225320 in words is "four million, two hundred twenty-five thousand, three hundred twenty".