414222120 has 256 divisors, whose sum is σ = 1504339200. Its totient is φ = 100776960.

The previous prime is 414222101. The next prime is 414222163. The reversal of 414222120 is 21222414.

It is a super-3 number, since 3×414222120³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 414222093 and 414222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2288430 + ... + 2288610.

It is an arithmetic number, because the mean of its divisors is an integer number (5876325).

Almost surely, 2^414222120 is an apocalyptic number.

414222120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752169600).

414222120 is an abundant number, since it is smaller than the sum of its proper divisors (1090117080).

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

414222120 is a wasteful number, since it uses less digits than its factorization.

414222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

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

The square root of 414222120 is about 20352.4475186647. The cubic root of 414222120 is about 745.4372581393.

Adding to 414222120 its reverse (21222414), we get a palindrome (435444534).

It can be divided in two parts, 4142 and 22120, that added together give a palindrome (26262).

The spelling of 414222120 in words is "four hundred fourteen million, two hundred twenty-two thousand, one hundred twenty".