411683904 has 224 divisors, whose sum is σ = 1278696960. Its totient is φ = 129724416.

The previous prime is 411683879. The next prime is 411683927. The reversal of 411683904 is 409386114.

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

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, 3004924 + ... + 3005060.

Almost surely, 2^411683904 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 411683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639348480).

411683904 is an abundant number, since it is smaller than the sum of its proper divisors (867013056).

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

411683904 is a wasteful number, since it uses less digits than its factorization.

411683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 411683904 is about 20289.9951700339. The cubic root of 411683904 is about 743.9115399510.

The spelling of 411683904 in words is "four hundred eleven million, six hundred eighty-three thousand, nine hundred four".