411606468 has 288 divisors, whose sum is σ = 1387115520. Its totient is φ = 104509440.

The previous prime is 411606457. The next prime is 411606497. The reversal of 411606468 is 864606114.

411606468 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 0 + 646 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132580 + ... + 2132772.

Almost surely, 2^411606468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411606468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693557760).

411606468 is an abundant number, since it is smaller than the sum of its proper divisors (975509052).

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

411606468 is a wasteful number, since it uses less digits than its factorization.

411606468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 411606468 is about 20288.0868491832. The cubic root of 411606468 is about 743.8648948222.

The spelling of 411606468 in words is "four hundred eleven million, six hundred six thousand, four hundred sixty-eight".