401221301 has 24 divisors (see below), whose sum is σ = 461863080. Its totient is φ = 346401792.

The previous prime is 401221291. The next prime is 401221307. The reversal of 401221301 is 103122104.

It can be written as a sum of positive squares in 12 ways, for example, as 81884401 + 319336900 = 9049^2 + 17870^2 .

It is not a de Polignac number, because 401221301 - 2⁶ = 401221237 is a prime.

It is a super-2 number, since 2×401221301² = 321957064752265202, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401221307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010435 + ... + 1010831.

It is an arithmetic number, because the mean of its divisors is an integer number (19244295).

Almost surely, 2^401221301 is an apocalyptic number.

It is an amenable number.

401221301 is a deficient number, since it is larger than the sum of its proper divisors (60641779).

401221301 is a wasteful number, since it uses less digits than its factorization.

401221301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 401221301 is about 20030.5092546345. The cubic root of 401221301 is about 737.5554230493. Note that the first 3 decimals are identical.

Adding to 401221301 its reverse (103122104), we get a palindrome (504343405).

The spelling of 401221301 in words is "four hundred one million, two hundred twenty-one thousand, three hundred one".