414536985 has 48 divisors (see below), whose sum is σ = 738813504. Its totient is φ = 214897536.

The previous prime is 414536977. The next prime is 414536987. The reversal of 414536985 is 589635414.

It is not a de Polignac number, because 414536985 - 2³ = 414536977 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 414536985.

It is not an unprimeable number, because it can be changed into a prime (414536987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547227 + ... + 547983.

It is an arithmetic number, because the mean of its divisors is an integer number (15391948).

Almost surely, 2^414536985 is an apocalyptic number.

414536985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414536985 is a deficient number, since it is larger than the sum of its proper divisors (324276519).

414536985 is a wasteful number, since it uses less digits than its factorization.

414536985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1091 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 414536985 is about 20360.1813597031. The cubic root of 414536985 is about 745.6260881132.

The spelling of 414536985 in words is "four hundred fourteen million, five hundred thirty-six thousand, nine hundred eighty-five".