416381017 has 24 divisors (see below), whose sum is σ = 490423896. Its totient is φ = 351876096.

The previous prime is 416380969. The next prime is 416381039. The reversal of 416381017 is 710183614.

It can be written as a sum of positive squares in 12 ways, for example, as 23707161 + 392673856 = 4869^2 + 19816^2 .

It is not a de Polignac number, because 416381017 - 2⁷ = 416380889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416381017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416381717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104343 + ... + 108259.

It is an arithmetic number, because the mean of its divisors is an integer number (20434329).

Almost surely, 2^416381017 is an apocalyptic number.

It is an amenable number.

416381017 is a deficient number, since it is larger than the sum of its proper divisors (74042879).

416381017 is a wasteful number, since it uses less digits than its factorization.

416381017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 416381017 is about 20405.4163642892. The cubic root of 416381017 is about 746.7300705043.

The spelling of 416381017 in words is "four hundred sixteen million, three hundred eighty-one thousand, seventeen".