414421224 has 48 divisors (see below), whose sum is σ = 1205208000. Its totient is φ = 118405728.

The previous prime is 414421213. The next prime is 414421289. The reversal of 414421224 is 422124414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 414421194 and 414421203.

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 11 ways as a sum of consecutive naturals, for example, 175024 + ... + 177375.

It is an arithmetic number, because the mean of its divisors is an integer number (25108500).

Almost surely, 2^414421224 is an apocalyptic number.

It is an amenable number.

414421224 is an abundant number, since it is smaller than the sum of its proper divisors (790786776).

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

414421224 is a wasteful number, since it uses less digits than its factorization.

414421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352422 (or 352411 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 414421224 is about 20357.3383328961. The cubic root of 414421224 is about 745.5566753624.

Adding to 414421224 its reverse (422124414), we get a palindrome (836545638).

The spelling of 414421224 in words is "four hundred fourteen million, four hundred twenty-one thousand, two hundred twenty-four".