411434016 has 192 divisors, whose sum is σ = 1285320960. Its totient is φ = 112803840.

The previous prime is 411434003. The next prime is 411434027. The reversal of 411434016 is 610434114.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3003100 + ... + 3003236.

It is an arithmetic number, because the mean of its divisors is an integer number (6694380).

Almost surely, 2^411434016 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 411434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642660480).

411434016 is an abundant number, since it is smaller than the sum of its proper divisors (873886944).

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

411434016 is a wasteful number, since it uses less digits than its factorization.

411434016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 411434016 is about 20283.8363235360. The cubic root of 411434016 is about 743.7609938728.

The spelling of 411434016 in words is "four hundred eleven million, four hundred thirty-four thousand, sixteen".