410116608 has 400 divisors, whose sum is σ = 1425980160. Its totient is φ = 116121600.

The previous prime is 410116607. The next prime is 410116627. The reversal of 410116608 is 806611014.

410116608 is a `hidden beast` number, since 41 + 0 + 1 + 16 + 608 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410116607) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13229553 + ... + 13229583.

Almost surely, 2^410116608 is an apocalyptic number.

410116608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712990080).

410116608 is an abundant number, since it is smaller than the sum of its proper divisors (1015863552).

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

410116608 is a wasteful number, since it uses less digits than its factorization.

410116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 410116608 is about 20251.3359559314. The cubic root of 410116608 is about 742.9663064146.

The spelling of 410116608 in words is "four hundred ten million, one hundred sixteen thousand, six hundred eight".