414085872 has 80 divisors (see below), whose sum is σ = 1099493120. Its totient is φ = 134217216.

The previous prime is 414085871. The next prime is 414085963. The reversal of 414085872 is 278580414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414085872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414085871) 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, 905868 + ... + 906324.

It is an arithmetic number, because the mean of its divisors is an integer number (13743664).

Almost surely, 2^414085872 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 414085872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549746560).

414085872 is an abundant number, since it is smaller than the sum of its proper divisors (685407248).

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

414085872 is a wasteful number, since it uses less digits than its factorization.

414085872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 414085872 is about 20349.1000292396. The cubic root of 414085872 is about 745.3555181997.

The spelling of 414085872 in words is "four hundred fourteen million, eighty-five thousand, eight hundred seventy-two".