416441601 has 16 divisors (see below), whose sum is σ = 649422400. Its totient is φ = 263015424.

The previous prime is 416441587. The next prime is 416441603. The reversal of 416441601 is 106144614.

416441601 is a `hidden beast` number, since 4 + 1 + 644 + 16 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-416441601 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416441603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405376 + ... + 406401.

It is an arithmetic number, because the mean of its divisors is an integer number (40588900).

Almost surely, 2^416441601 is an apocalyptic number.

It is an amenable number.

416441601 is a deficient number, since it is larger than the sum of its proper divisors (232980799).

416441601 is a wasteful number, since it uses less digits than its factorization.

416441601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811805 (or 811799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 416441601 is about 20406.9008181056. The cubic root of 416441601 is about 746.7662854923.

The spelling of 416441601 in words is "four hundred sixteen million, four hundred forty-one thousand, six hundred one".