419402214 has 72 divisors (see below), whose sum is σ = 1141554960. Its totient is φ = 108931680.

The previous prime is 419402201. The next prime is 419402227. The reversal of 419402214 is 412204914.

It is a happy number.

419402214 is a `hidden beast` number, since 41 + 9 + 402 + 214 = 666.

It is an interprime number because it is at equal distance from previous prime (419402201) and next prime (419402227).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1492 + ... + 29000.

It is an arithmetic number, because the mean of its divisors is an integer number (15854930).

Almost surely, 2^419402214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419402214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570777480).

419402214 is an abundant number, since it is smaller than the sum of its proper divisors (722152746).

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

419402214 is a wasteful number, since it uses less digits than its factorization.

419402214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27546 (or 27532 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 419402214 is about 20479.3118536732. The cubic root of 419402214 is about 748.5317729547.

The spelling of 419402214 in words is "four hundred nineteen million, four hundred two thousand, two hundred fourteen".