411504016 has 80 divisors (see below), whose sum is σ = 999364608. Its totient is φ = 159465600.

The previous prime is 411504007. The next prime is 411504053. The reversal of 411504016 is 610405114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259161 + ... + 260743.

Almost surely, 2^411504016 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 411504016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499682304).

411504016 is an abundant number, since it is smaller than the sum of its proper divisors (587860592).

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

411504016 is a wasteful number, since it uses less digits than its factorization.

411504016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 411504016 is about 20285.5617620021. The cubic root of 411504016 is about 743.8031718124.

The spelling of 411504016 in words is "four hundred eleven million, five hundred four thousand, sixteen".