413123403 has 96 divisors (see below), whose sum is σ = 749056000. Its totient is φ = 197588160.

The previous prime is 413123387. The next prime is 413123411. The reversal of 413123403 is 304321314.

It is not a de Polignac number, because 413123403 - 2⁴ = 413123387 is a prime.

It is a super-2 number, since 2×413123403² = 341341892212600818, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413123403.

It is not an unprimeable number, because it can be changed into a prime (413123423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2075898 + ... + 2076096.

Almost surely, 2^413123403 is an apocalyptic number.

413123403 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

413123403 is a deficient number, since it is larger than the sum of its proper divisors (335932597).

413123403 is a wasteful number, since it uses less digits than its factorization.

413123403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 413123403 is about 20325.4373384683. The cubic root of 413123403 is about 744.7775880679. Note that the first 3 decimals are identical.

Adding to 413123403 its reverse (304321314), we get a palindrome (717444717).

The spelling of 413123403 in words is "four hundred thirteen million, one hundred twenty-three thousand, four hundred three".