414980214 has 64 divisors (see below), whose sum is σ = 948423168. Its totient is φ = 119820800.

The previous prime is 414980207. The next prime is 414980239. The reversal of 414980214 is 412089414.

It is a super-2 number, since 2×414980214² = 344417156022971592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699502 + ... + 700094.

It is an arithmetic number, because the mean of its divisors is an integer number (14819112).

Almost surely, 2^414980214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414980214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474211584).

414980214 is an abundant number, since it is smaller than the sum of its proper divisors (533442954).

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

414980214 is a wasteful number, since it uses less digits than its factorization.

414980214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 414980214 is about 20371.0631534046. The cubic root of 414980214 is about 745.8917382253.

The spelling of 414980214 in words is "four hundred fourteen million, nine hundred eighty thousand, two hundred fourteen".