411955760 has 80 divisors (see below), whose sum is σ = 1004667840. Its totient is φ = 156794880.

The previous prime is 411955757. The next prime is 411955763. The reversal of 411955760 is 67559114.

It is an interprime number because it is at equal distance from previous prime (411955757) and next prime (411955763).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (411955763) 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 15 ways as a sum of consecutive naturals, for example, 442976 + ... + 443904.

It is an arithmetic number, because the mean of its divisors is an integer number (12558348).

Almost surely, 2^411955760 is an apocalyptic number.

411955760 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 411955760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502333920).

411955760 is an abundant number, since it is smaller than the sum of its proper divisors (592712080).

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

411955760 is a wasteful number, since it uses less digits than its factorization.

411955760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 411955760 is about 20296.6933267466. The cubic root of 411955760 is about 744.0752515706.

The spelling of 411955760 in words is "four hundred eleven million, nine hundred fifty-five thousand, seven hundred sixty".