411345168 has 80 divisors (see below), whose sum is σ = 1163883840. Its totient is φ = 124411392.

The previous prime is 411345167. The next prime is 411345173. The reversal of 411345168 is 861543114.

It is not an unprimeable number, because it can be changed into a prime (411345167) 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, 31230 + ... + 42402.

It is an arithmetic number, because the mean of its divisors is an integer number (14548548).

Almost surely, 2^411345168 is an apocalyptic number.

411345168 is a gapful number since it is divisible by the number (48) 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 411345168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581941920).

411345168 is an abundant number, since it is smaller than the sum of its proper divisors (752538672).

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

411345168 is a wasteful number, since it uses less digits than its factorization.

411345168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11250 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 411345168 is about 20281.6460870414. The cubic root of 411345168 is about 743.7074523315.

The spelling of 411345168 in words is "four hundred eleven million, three hundred forty-five thousand, one hundred sixty-eight".