411166404 has 72 divisors (see below), whose sum is σ = 1150819488. Its totient is φ = 122728320.

The previous prime is 411166397. The next prime is 411166411. The reversal of 411166404 is 404661114.

411166404 is a `hidden beast` number, since 4 + 1 + 1 + 16 + 640 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (411166397) and next prime (411166411).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18784 + ... + 34280.

It is an arithmetic number, because the mean of its divisors is an integer number (15983604).

Almost surely, 2^411166404 is an apocalyptic number.

411166404 is a gapful number since it is divisible by the number (44) 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 411166404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575409744).

411166404 is an abundant number, since it is smaller than the sum of its proper divisors (739653084).

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

411166404 is a wasteful number, since it uses less digits than its factorization.

411166404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15585 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 411166404 is about 20277.2385693911. The cubic root of 411166404 is about 743.5997022852.

The spelling of 411166404 in words is "four hundred eleven million, one hundred sixty-six thousand, four hundred four".