414022120 has 16 divisors (see below), whose sum is σ = 931549860. Its totient is φ = 165608832.

The previous prime is 414022109. The next prime is 414022123. The reversal of 414022120 is 21220414.

It can be written as a sum of positive squares in 2 ways, for example, as 413471556 + 550564 = 20334^2 + 742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414022094 and 414022103.

It is not an unprimeable number, because it can be changed into a prime (414022123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5175237 + ... + 5175316.

Almost surely, 2^414022120 is an apocalyptic number.

414022120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414022120 is an abundant number, since it is smaller than the sum of its proper divisors (517527740).

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

414022120 is a wasteful number, since it uses less digits than its factorization.

414022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350564 (or 10350560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 414022120 is about 20347.5335114603. The cubic root of 414022120 is about 745.3172649878.

Adding to 414022120 its reverse (21220414), we get a palindrome (435242534).

The spelling of 414022120 in words is "four hundred fourteen million, twenty-two thousand, one hundred twenty".