413458668 has 108 divisors (see below), whose sum is σ = 1260938952. Its totient is φ = 118117440.

The previous prime is 413458613. The next prime is 413458673. The reversal of 413458668 is 866854314.

413458668 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 586 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43288 + ... + 51968.

Almost surely, 2^413458668 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 413458668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630469476).

413458668 is an abundant number, since it is smaller than the sum of its proper divisors (847480284).

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

413458668 is a wasteful number, since it uses less digits than its factorization.

413458668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8693 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 413458668 is about 20333.6830898881. The cubic root of 413458668 is about 744.9790051588.

The spelling of 413458668 in words is "four hundred thirteen million, four hundred fifty-eight thousand, six hundred sixty-eight".