411734016 has 260 divisors, whose sum is σ = 1320159852. Its totient is φ = 127401984.

The previous prime is 411733981. The next prime is 411734023. The reversal of 411734016 is 610437114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 279023616 + 132710400 = 16704^2 + 11520^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5640156 + ... + 5640228.

Almost surely, 2^411734016 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 411734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660079926).

411734016 is an abundant number, since it is smaller than the sum of its proper divisors (908425836).

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

411734016 is an equidigital number, since it uses as much as digits as its factorization.

411734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 411734016 is about 20291.2300267874. The cubic root of 411734016 is about 743.9417228026.

The spelling of 411734016 in words is "four hundred eleven million, seven hundred thirty-four thousand, sixteen".