413701668 has 144 divisors (see below), whose sum is σ = 1154704320. Its totient is φ = 129645360.

The previous prime is 413701627. The next prime is 413701679. The reversal of 413701668 is 866107314.

It is a super-2 number, since 2×413701668² = 342298140211964448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 3157963 + ... + 3158093.

It is an arithmetic number, because the mean of its divisors is an integer number (8018780).

Almost surely, 2^413701668 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 413701668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577352160).

413701668 is an abundant number, since it is smaller than the sum of its proper divisors (741002652).

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

413701668 is a wasteful number, since it uses less digits than its factorization.

413701668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 413701668 is about 20339.6575192406. The cubic root of 413701668 is about 745.1249241737.

The spelling of 413701668 in words is "four hundred thirteen million, seven hundred one thousand, six hundred sixty-eight".