413951985 has 16 divisors (see below), whose sum is σ = 735914880. Its totient is φ = 220774320.

The previous prime is 413951981. The next prime is 413951987. The reversal of 413951985 is 589159314.

It is not a de Polignac number, because 413951985 - 2² = 413951981 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413951985.

It is not an unprimeable number, because it can be changed into a prime (413951981) 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, 1533021 + ... + 1533290.

It is an arithmetic number, because the mean of its divisors is an integer number (45994680).

Almost surely, 2^413951985 is an apocalyptic number.

413951985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413951985 is a deficient number, since it is larger than the sum of its proper divisors (321962895).

413951985 is a wasteful number, since it uses less digits than its factorization.

413951985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066325 (or 3066319 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 413951985 is about 20345.8100109089. The cubic root of 413951985 is about 745.2751772379.

The spelling of 413951985 in words is "four hundred thirteen million, nine hundred fifty-one thousand, nine hundred eighty-five".