414969016 has 96 divisors (see below), whose sum is σ = 998968320. Its totient is φ = 158114880.

The previous prime is 414969001. The next prime is 414969017. The reversal of 414969016 is 610969414.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 414969016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414969017) 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 23 ways as a sum of consecutive naturals, for example, 317821 + ... + 319123.

It is an arithmetic number, because the mean of its divisors is an integer number (10405920).

Almost surely, 2^414969016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414969016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499484160).

414969016 is an abundant number, since it is smaller than the sum of its proper divisors (583999304).

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

414969016 is a wasteful number, since it uses less digits than its factorization.

414969016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 414969016 is about 20370.7883008979. The cubic root of 414969016 is about 745.8850290132.

The spelling of 414969016 in words is "four hundred fourteen million, nine hundred sixty-nine thousand, sixteen".