413335296 has 216 divisors, whose sum is σ = 1331576064. Its totient is φ = 122234880.

The previous prime is 413335267. The next prime is 413335301. The reversal of 413335296 is 692533314.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413335296.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1190995 + ... + 1191341.

It is an arithmetic number, because the mean of its divisors is an integer number (6164704).

Almost surely, 2^413335296 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 413335296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665788032).

413335296 is an abundant number, since it is smaller than the sum of its proper divisors (918240768).

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

413335296 is a wasteful number, since it uses less digits than its factorization.

413335296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 413335296 is about 20330.6491780268. The cubic root of 413335296 is about 744.9048996516.

The spelling of 413335296 in words is "four hundred thirteen million, three hundred thirty-five thousand, two hundred ninety-six".