413304768 has 140 divisors (see below), whose sum is σ = 1246202232. Its totient is φ = 135406080.

The previous prime is 413304767. The next prime is 413304769. The reversal of 413304768 is 867403314.

It is an interprime number because it is at equal distance from previous prime (413304767) and next prime (413304769).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413304761) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 315571 + ... + 316877.

Almost surely, 2^413304768 is an apocalyptic number.

413304768 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 413304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623101116).

413304768 is an abundant number, since it is smaller than the sum of its proper divisors (832897464).

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

413304768 is a wasteful number, since it uses less digits than its factorization.

413304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 413304768 is about 20329.8983765291. The cubic root of 413304768 is about 744.8865602091.

The spelling of 413304768 in words is "four hundred thirteen million, three hundred four thousand, seven hundred sixty-eight".