413376768 has 324 divisors, whose sum is σ = 1457846208. Its totient is φ = 110315520.

The previous prime is 413376757. The next prime is 413376779. The reversal of 413376768 is 867673314.

It is an interprime number because it is at equal distance from previous prime (413376757) and next prime (413376779).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5822173 + ... + 5822243.

Almost surely, 2^413376768 is an apocalyptic number.

413376768 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 413376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728923104).

413376768 is an abundant number, since it is smaller than the sum of its proper divisors (1044469440).

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

413376768 is a wasteful number, since it uses less digits than its factorization.

413376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 413376768 is about 20331.6690903625. The cubic root of 413376768 is about 744.9298121646.

The spelling of 413376768 in words is "four hundred thirteen million, three hundred seventy-six thousand, seven hundred sixty-eight".