4153120 has 48 divisors (see below), whose sum is σ = 9947448. Its totient is φ = 1638400.

The previous prime is 4153111. The next prime is 4153159. The reversal of 4153120 is 213514.

It can be written as a sum of positive squares in 4 ways, for example, as 4048144 + 104976 = 2012^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4153094 and 4153103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16032 + ... + 16288.

Almost surely, 2^4153120 is an apocalyptic number.

4153120 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 4153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973724).

4153120 is an abundant number, since it is smaller than the sum of its proper divisors (5794328).

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

4153120 is a wasteful number, since it uses less digits than its factorization.

4153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4153120 is about 2037.9205087540. The cubic root of 4153120 is about 160.7403192630.

Adding to 4153120 its reverse (213514), we get a palindrome (4366634).

The spelling of 4153120 in words is "four million, one hundred fifty-three thousand, one hundred twenty".