414020214 has 48 divisors (see below), whose sum is σ = 943239120. Its totient is φ = 134611200.

The previous prime is 414020213. The next prime is 414020231. The reversal of 414020214 is 412020414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414020213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88494 + ... + 93054.

It is an arithmetic number, because the mean of its divisors is an integer number (19650815).

Almost surely, 2^414020214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414020214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471619560).

414020214 is an abundant number, since it is smaller than the sum of its proper divisors (529218906).

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

414020214 is a wasteful number, since it uses less digits than its factorization.

414020214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414020214 is about 20347.4866752629. The cubic root of 414020214 is about 745.3161212672.

Adding to 414020214 its reverse (412020414), we get a palindrome (826040628).

The spelling of 414020214 in words is "four hundred fourteen million, twenty thousand, two hundred fourteen".