413303331 has 16 divisors (see below), whose sum is σ = 651513600. Its totient is φ = 228029088.

The previous prime is 413303327. The next prime is 413303347. The reversal of 413303331 is 133303314.

It is not a de Polignac number, because 413303331 - 2² = 413303327 is a prime.

It is a super-2 number, since 2×413303331² = 341639286831391122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 413303298 and 413303307.

It is not an unprimeable number, because it can be changed into a prime (413303321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338721 + ... + 339938.

It is an arithmetic number, because the mean of its divisors is an integer number (40719600).

Almost surely, 2^413303331 is an apocalyptic number.

413303331 is a deficient number, since it is larger than the sum of its proper divisors (238210269).

413303331 is a wasteful number, since it uses less digits than its factorization.

413303331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678698.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 413303331 is about 20329.8630344624. The cubic root of 413303331 is about 744.8856969210.

Adding to 413303331 its reverse (133303314), we get a palindrome (546606645).

The spelling of 413303331 in words is "four hundred thirteen million, three hundred three thousand, three hundred thirty-one".