411885376 has 112 divisors (see below), whose sum is σ = 987552000. Its totient is φ = 170171904.

The previous prime is 411885343. The next prime is 411885389. The reversal of 411885376 is 673588114.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×411885376² = 339299125925322752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636285 + ... + 636931.

Almost surely, 2^411885376 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 411885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776000).

411885376 is an abundant number, since it is smaller than the sum of its proper divisors (575666624).

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

411885376 is an equidigital number, since it uses as much as digits as its factorization.

411885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 685 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 411885376 is about 20294.9593741894. The cubic root of 411885376 is about 744.0328732536.

It can be divided in two parts, 41188 and 5376, that added together give a palindrome (46564).

The spelling of 411885376 in words is "four hundred eleven million, eight hundred eighty-five thousand, three hundred seventy-six".