401344100 has 18 divisors (see below), whose sum is σ = 870916914. Its totient is φ = 160537600.

The previous prime is 401344061. The next prime is 401344127. The reversal of 401344100 is 1443104.

It can be written as a sum of positive squares in 3 ways, for example, as 4218916 + 397125184 = 2054^2 + 19928^2 .

It is a super-2 number, since 2×401344100² = 322154173209620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2006621 + ... + 2006820.

It is an arithmetic number, because the mean of its divisors is an integer number (48384273).

Almost surely, 2^401344100 is an apocalyptic number.

It is an amenable number.

401344100 is an abundant number, since it is smaller than the sum of its proper divisors (469572814).

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

401344100 is a wasteful number, since it uses less digits than its factorization.

401344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013455 (or 4013448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 401344100 is about 20033.5743191274. The cubic root of 401344100 is about 737.6306615187.

Adding to 401344100 its reverse (1443104), we get a palindrome (402787204).

The spelling of 401344100 in words is "four hundred one million, three hundred forty-four thousand, one hundred".