414002022 has 32 divisors (see below), whose sum is σ = 968301312. Its totient is φ = 115534944.

The previous prime is 414002021. The next prime is 414002041. The reversal of 414002022 is 220200414.

It is a junction number, because it is equal to n+sod(n) for n = 414001992 and 414002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414002021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112813 + ... + 116424.

It is an arithmetic number, because the mean of its divisors is an integer number (30259416).

Almost surely, 2^414002022 is an apocalyptic number.

414002022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414002022 is an abundant number, since it is smaller than the sum of its proper divisors (554299290).

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

414002022 is a wasteful number, since it uses less digits than its factorization.

414002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229292.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 414002022 is about 20347.0396372544. The cubic root of 414002022 is about 745.3052047394.

Adding to 414002022 its reverse (220200414), we get a palindrome (634202436).

The spelling of 414002022 in words is "four hundred fourteen million, two thousand, twenty-two".