414166984 has 32 divisors (see below), whose sum is σ = 968184000. Its totient is φ = 161363520.

The previous prime is 414166981. The next prime is 414166993. The reversal of 414166984 is 489661414.

It is a self number, because there is not a number n which added to its sum of digits gives 414166984.

It is not an unprimeable number, because it can be changed into a prime (414166981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335559 + ... + 336790.

It is an arithmetic number, because the mean of its divisors is an integer number (30255750).

Almost surely, 2^414166984 is an apocalyptic number.

414166984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414166984 is an abundant number, since it is smaller than the sum of its proper divisors (554017016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414166984 is a wasteful number, since it uses less digits than its factorization.

414166984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672373 (or 672369 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 414166984 is about 20351.0929436234. The cubic root of 414166984 is about 745.4041822843.

It can be divided in two parts, 41416 and 6984, that added together give a square (48400 = 220²).

The spelling of 414166984 in words is "four hundred fourteen million, one hundred sixty-six thousand, nine hundred eighty-four".