403165120 has 56 divisors (see below), whose sum is σ = 961912224. Its totient is φ = 160951296.

The previous prime is 403165097. The next prime is 403165127. The reversal of 403165120 is 21561304.

It is a super-2 number, since 2×403165120² = 325084227969228800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 403165091 and 403165100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403165127) by changing a digit.

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, 231774 + ... + 233506.

It is an arithmetic number, because the mean of its divisors is an integer number (17177004).

Almost surely, 2^403165120 is an apocalyptic number.

403165120 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 403165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480956112).

403165120 is an abundant number, since it is smaller than the sum of its proper divisors (558747104).

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

403165120 is a wasteful number, since it uses less digits than its factorization.

403165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 403165120 is about 20078.9720852438. The cubic root of 403165120 is about 738.7445965269.

The spelling of 403165120 in words is "four hundred three million, one hundred sixty-five thousand, one hundred twenty".