413342208 has 120 divisors (see below), whose sum is σ = 1200952896. Its totient is φ = 136857600.

The previous prime is 413342203. The next prime is 413342219. The reversal of 413342208 is 802243314.

413342208 is a `hidden beast` number, since 413 + 3 + 42 + 208 = 666.

It is not an unprimeable number, because it can be changed into a prime (413342203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248603 + ... + 1248933.

Almost surely, 2^413342208 is an apocalyptic number.

413342208 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 413342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600476448).

413342208 is an abundant number, since it is smaller than the sum of its proper divisors (787610688).

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

413342208 is a wasteful number, since it uses less digits than its factorization.

413342208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 413342208 is about 20330.8191669691. The cubic root of 413342208 is about 744.9090518528.

The spelling of 413342208 in words is "four hundred thirteen million, three hundred forty-two thousand, two hundred eight".