404416221 has 32 divisors (see below), whose sum is σ = 603265536. Its totient is φ = 238920000.

The previous prime is 404416217. The next prime is 404416241. The reversal of 404416221 is 122614404.

It is a happy number.

It is not a de Polignac number, because 404416221 - 2² = 404416217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404416191 and 404416200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404416241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222406 + ... + 224216.

It is an arithmetic number, because the mean of its divisors is an integer number (18852048).

Almost surely, 2^404416221 is an apocalyptic number.

It is an amenable number.

404416221 is a deficient number, since it is larger than the sum of its proper divisors (198849315).

404416221 is a wasteful number, since it uses less digits than its factorization.

404416221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 404416221 is about 20110.1024612009. The cubic root of 404416221 is about 739.5079642433.

The spelling of 404416221 in words is "four hundred four million, four hundred sixteen thousand, two hundred twenty-one".