411663384 has 288 divisors, whose sum is σ = 1360419840. Its totient is φ = 115473600.

The previous prime is 411663379. The next prime is 411663401. The reversal of 411663384 is 483366114.

It is a happy number.

411663384 is a `hidden beast` number, since 4 + 1 + 16 + 633 + 8 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 13279449 + ... + 13279479.

It is an arithmetic number, because the mean of its divisors is an integer number (4723680).

Almost surely, 2^411663384 is an apocalyptic number.

411663384 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 411663384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680209920).

411663384 is an abundant number, since it is smaller than the sum of its proper divisors (948756456).

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

411663384 is a wasteful number, since it uses less digits than its factorization.

411663384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 411663384 is about 20289.4894957956. The cubic root of 411663384 is about 743.8991798868.

The spelling of 411663384 in words is "four hundred eleven million, six hundred sixty-three thousand, three hundred eighty-four".