411776352 has 192 divisors, whose sum is σ = 1316790720. Its totient is φ = 124416000.

The previous prime is 411776347. The next prime is 411776371. The reversal of 411776352 is 253677114.

It is a happy number.

411776352 is a `hidden beast` number, since 4 + 1 + 17 + 7 + 635 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684852 + ... + 685452.

It is an arithmetic number, because the mean of its divisors is an integer number (6858285).

Almost surely, 2^411776352 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 411776352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658395360).

411776352 is an abundant number, since it is smaller than the sum of its proper divisors (905014368).

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

411776352 is a wasteful number, since it uses less digits than its factorization.

411776352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 411776352 is about 20292.2732092785. The cubic root of 411776352 is about 743.9672201999.

The spelling of 411776352 in words is "four hundred eleven million, seven hundred seventy-six thousand, three hundred fifty-two".