413801668 has 36 divisors (see below), whose sum is σ = 853950972. Its totient is φ = 174908160.

The previous prime is 413801653. The next prime is 413801681. The reversal of 413801668 is 866108314.

It can be written as a sum of positive squares in 2 ways, for example, as 271524484 + 142277184 = 16478^2 + 11928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 28768.

Almost surely, 2^413801668 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 413801668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426975486).

413801668 is an abundant number, since it is smaller than the sum of its proper divisors (440149304).

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

413801668 is a wasteful number, since it uses less digits than its factorization.

413801668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29012 (or 29003 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 413801668 is about 20342.1156225207. The cubic root of 413801668 is about 745.1849565555.

The spelling of 413801668 in words is "four hundred thirteen million, eight hundred one thousand, six hundred sixty-eight".