416103366 has 48 divisors (see below), whose sum is σ = 965938176. Its totient is φ = 117059184.

The previous prime is 416103343. The next prime is 416103367. The reversal of 416103366 is 663301614.

It is a super-2 number, since 2×416103366² = 346284022393059912, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416103367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187435 + ... + 189641.

It is an arithmetic number, because the mean of its divisors is an integer number (20123712).

Almost surely, 2^416103366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416103366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482969088).

416103366 is an abundant number, since it is smaller than the sum of its proper divisors (549834810).

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

416103366 is a wasteful number, since it uses less digits than its factorization.

416103366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 416103366 is about 20398.6118645363. The cubic root of 416103366 is about 746.5640555297.

The spelling of 416103366 in words is "four hundred sixteen million, one hundred three thousand, three hundred sixty-six".