416301601 has 4 divisors (see below), whose sum is σ = 416344212. Its totient is φ = 416258992.

The previous prime is 416301569. The next prime is 416301617. The reversal of 416301601 is 106103614.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 106103614 = 2 ⋅53051807.

It can be written as a sum of positive squares in 2 ways, for example, as 315098001 + 101203600 = 17751^2 + 10060^2 .

It is a cyclic number.

It is not a de Polignac number, because 416301601 - 2⁵ = 416301569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416304601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1455 + ... + 28891.

It is an arithmetic number, because the mean of its divisors is an integer number (104086053).

Almost surely, 2^416301601 is an apocalyptic number.

It is an amenable number.

416301601 is a deficient number, since it is larger than the sum of its proper divisors (42611).

416301601 is a wasteful number, since it uses less digits than its factorization.

416301601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42610.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 416301601 is about 20403.4703175710. The cubic root of 416301601 is about 746.6825930870.

The spelling of 416301601 in words is "four hundred sixteen million, three hundred one thousand, six hundred one".