411152616 has 192 divisors, whose sum is σ = 1377492480. Its totient is φ = 108103680.

The previous prime is 411152611. The next prime is 411152617. The reversal of 411152616 is 616251114.

411152616 is a `hidden beast` number, since 41 + 1 + 1 + 5 + 2 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 411152616.

It is not an unprimeable number, because it can be changed into a prime (411152611) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 402186 + ... + 403206.

It is an arithmetic number, because the mean of its divisors is an integer number (7174440).

Almost surely, 2^411152616 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 411152616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

411152616 is an abundant number, since it is smaller than the sum of its proper divisors (966339864).

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

411152616 is a wasteful number, since it uses less digits than its factorization.

411152616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1097 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 411152616 is about 20276.8985794179. The cubic root of 411152616 is about 743.5913902674.

The spelling of 411152616 in words is "four hundred eleven million, one hundred fifty-two thousand, six hundred sixteen".