401305220 has 24 divisors (see below), whose sum is σ = 846367704. Its totient is φ = 159831296.

The previous prime is 401305217. The next prime is 401305279. The reversal of 401305220 is 22503104.

It can be written as a sum of positive squares in 4 ways, for example, as 19571776 + 381733444 = 4424^2 + 19538^2 .

It is a super-2 number, since 2×401305220² = 322091759198496800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38399 + ... + 47718.

It is an arithmetic number, because the mean of its divisors is an integer number (35265321).

Almost surely, 2^401305220 is an apocalyptic number.

It is an amenable number.

401305220 is an abundant number, since it is smaller than the sum of its proper divisors (445062484).

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

401305220 is a wasteful number, since it uses less digits than its factorization.

401305220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86359 (or 86357 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 401305220 is about 20032.6039246025. The cubic root of 401305220 is about 737.6068415545.

Adding to 401305220 its reverse (22503104), we get a palindrome (423808324).

The spelling of 401305220 in words is "four hundred one million, three hundred five thousand, two hundred twenty".