405163120 has 20 divisors (see below), whose sum is σ = 942004440. Its totient is φ = 162065216.

The previous prime is 405163117. The next prime is 405163139. The reversal of 405163120 is 21361504.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 405163091 and 405163100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2532190 + ... + 2532349.

It is an arithmetic number, because the mean of its divisors is an integer number (47100222).

Almost surely, 2^405163120 is an apocalyptic number.

405163120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405163120 is an abundant number, since it is smaller than the sum of its proper divisors (536841320).

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

405163120 is a wasteful number, since it uses less digits than its factorization.

405163120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064552 (or 5064546 counting only the distinct ones).

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

The square root of 405163120 is about 20128.6641384867. The cubic root of 405163120 is about 739.9629394637.

The spelling of 405163120 in words is "four hundred five million, one hundred sixty-three thousand, one hundred twenty".