410160160 has 48 divisors (see below), whose sum is σ = 975010176. Its totient is φ = 163047168.

The previous prime is 410160073. The next prime is 410160161. The reversal of 410160160 is 61061014.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (410160161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18217 + ... + 33943.

It is an arithmetic number, because the mean of its divisors is an integer number (20312712).

Almost surely, 2^410160160 is an apocalyptic number.

410160160 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 410160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487505088).

410160160 is an abundant number, since it is smaller than the sum of its proper divisors (564850016).

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

410160160 is a wasteful number, since it uses less digits than its factorization.

410160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15905 (or 15897 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 410160160 is about 20252.4112144702. The cubic root of 410160160 is about 742.9926050514.

It can be divided in two parts, 4101 and 60160, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 410160160 in words is "four hundred ten million, one hundred sixty thousand, one hundred sixty".