413416035 has 16 divisors (see below), whose sum is σ = 734962080. Its totient is φ = 220488480.

The previous prime is 413416019. The next prime is 413416039. The reversal of 413416035 is 530614314.

413416035 is a `hidden beast` number, since 4 + 13 + 41 + 603 + 5 = 666.

It is not a de Polignac number, because 413416035 - 2⁴ = 413416019 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413416039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1531036 + ... + 1531305.

It is an arithmetic number, because the mean of its divisors is an integer number (45935130).

Almost surely, 2^413416035 is an apocalyptic number.

413416035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413416035 is a deficient number, since it is larger than the sum of its proper divisors (321546045).

413416035 is a wasteful number, since it uses less digits than its factorization.

413416035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062355 (or 3062349 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413416035 is about 20332.6347284360. The cubic root of 413416035 is about 744.9533985835.

The spelling of 413416035 in words is "four hundred thirteen million, four hundred sixteen thousand, thirty-five".