414402224 has 20 divisors (see below), whose sum is σ = 837813936. Its totient is φ = 198192192.

The previous prime is 414402193. The next prime is 414402299. The reversal of 414402224 is 422204414.

It is a super-2 number, since 2×414402224² = 343458406512292352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 414402224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 562679 + ... + 563414.

Almost surely, 2^414402224 is an apocalyptic number.

It is an amenable number.

414402224 is an abundant number, since it is smaller than the sum of its proper divisors (423411712).

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

414402224 is a wasteful number, since it uses less digits than its factorization.

414402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126124 (or 1126118 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 414402224 is about 20356.8716653616. The cubic root of 414402224 is about 745.5452813245.

Adding to 414402224 its reverse (422204414), we get a palindrome (836606638).

The spelling of 414402224 in words is "four hundred fourteen million, four hundred two thousand, two hundred twenty-four".