413366336 has 28 divisors (see below), whose sum is σ = 828408300. Its totient is φ = 204633600.

The previous prime is 413366309. The next prime is 413366383. The reversal of 413366336 is 633663314.

It can be written as a sum of positive squares in 2 ways, for example, as 356454400 + 56911936 = 18880^2 + 7544^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 413366296 and 413366305.

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 3 ways as a sum of consecutive naturals, for example, 25511 + ... + 38438.

Almost surely, 2^413366336 is an apocalyptic number.

It is an amenable number.

413366336 is an abundant number, since it is smaller than the sum of its proper divisors (415041964).

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

413366336 is a wasteful number, since it uses less digits than its factorization.

413366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64062 (or 64052 counting only the distinct ones).

The product of its digits is 69984, while the sum is 35.

The square root of 413366336 is about 20331.4125431560. The cubic root of 413366336 is about 744.9235457480.

It can be divided in two parts, 4 and 13366336, that multiplied together give a square (53465344 = 7312²).

The spelling of 413366336 in words is "four hundred thirteen million, three hundred sixty-six thousand, three hundred thirty-six".