414022212 has 96 divisors (see below), whose sum is σ = 1127548800. Its totient is φ = 131193216.

The previous prime is 414022207. The next prime is 414022247. The reversal of 414022212 is 212220414.

414022212 is a `hidden beast` number, since 41 + 402 + 221 + 2 = 666.

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

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, 208858 + ... + 210830.

It is an arithmetic number, because the mean of its divisors is an integer number (11745300).

Almost surely, 2^414022212 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 414022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563774400).

414022212 is an abundant number, since it is smaller than the sum of its proper divisors (713526588).

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

414022212 is a wasteful number, since it uses less digits than its factorization.

414022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

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

The square root of 414022212 is about 20347.5357721764. The cubic root of 414022212 is about 745.3173201935.

Adding to 414022212 its reverse (212220414), we get a palindrome (626242626).

The spelling of 414022212 in words is "four hundred fourteen million, twenty-two thousand, two hundred twelve".