411166080 has 576 divisors, whose sum is σ = 1709744400. Its totient is φ = 90243072.

The previous prime is 411166079. The next prime is 411166111. The reversal of 411166080 is 80661114.

411166080 is a `hidden beast` number, since 41 + 1 + 16 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21640311 + ... + 21640329.

Almost surely, 2^411166080 is an apocalyptic number.

411166080 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 411166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854872200).

411166080 is an abundant number, since it is smaller than the sum of its proper divisors (1298578320).

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

411166080 is a wasteful number, since it uses less digits than its factorization.

411166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 411166080 is about 20277.2305801359. The cubic root of 411166080 is about 743.5995069657.

The spelling of 411166080 in words is "four hundred eleven million, one hundred sixty-six thousand, eighty".