407641221 has 16 divisors (see below), whose sum is σ = 650368320. Its totient is φ = 250855920.

The previous prime is 407641187. The next prime is 407641243. The reversal of 407641221 is 122146704.

It is not a de Polignac number, because 407641221 - 2¹⁰ = 407640197 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407641021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580335 + ... + 581036.

It is an arithmetic number, because the mean of its divisors is an integer number (40648020).

Almost surely, 2^407641221 is an apocalyptic number.

It is an amenable number.

407641221 is a deficient number, since it is larger than the sum of its proper divisors (242727099).

407641221 is a wasteful number, since it uses less digits than its factorization.

407641221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161393 (or 1161387 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 407641221 is about 20190.1268198097. The cubic root of 407641221 is about 741.4684870374.

Adding to 407641221 its reverse (122146704), we get a palindrome (529787925).

The spelling of 407641221 in words is "four hundred seven million, six hundred forty-one thousand, two hundred twenty-one".