4201320 has 64 divisors (see below), whose sum is σ = 12741120. Its totient is φ = 1108224.

The previous prime is 4201319. The next prime is 4201321. The reversal of 4201320 is 231024.

It is an interprime number because it is at equal distance from previous prime (4201319) and next prime (4201321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4201296 and 4201305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201321) 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, 18729 + ... + 18951.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

Almost surely, 2^4201320 is an apocalyptic number.

4201320 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 4201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370560).

4201320 is an abundant number, since it is smaller than the sum of its proper divisors (8539800).

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

4201320 is a wasteful number, since it uses less digits than its factorization.

4201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4201320 is about 2049.7121749163. The cubic root of 4201320 is about 161.3597654178.

Adding to 4201320 its reverse (231024), we get a palindrome (4432344).

The spelling of 4201320 in words is "four million, two hundred one thousand, three hundred twenty".