416165985 has 16 divisors (see below), whose sum is σ = 739850880. Its totient is φ = 221955120.

The previous prime is 416165983. The next prime is 416166007. The reversal of 416165985 is 589561614.

416165985 is a `hidden beast` number, since 41 + 6 + 16 + 598 + 5 = 666.

It is not a de Polignac number, because 416165985 - 2¹ = 416165983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 416165985.

It is not an unprimeable number, because it can be changed into a prime (416165983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1541221 + ... + 1541490.

It is an arithmetic number, because the mean of its divisors is an integer number (46240680).

Almost surely, 2^416165985 is an apocalyptic number.

416165985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416165985 is a deficient number, since it is larger than the sum of its proper divisors (323684895).

416165985 is a wasteful number, since it uses less digits than its factorization.

416165985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082725 (or 3082719 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 416165985 is about 20400.1466906491. The cubic root of 416165985 is about 746.6015035563.

The spelling of 416165985 in words is "four hundred sixteen million, one hundred sixty-five thousand, nine hundred eighty-five".