401241300 has 72 divisors (see below), whose sum is σ = 1180653600. Its totient is φ = 105179520.

The previous prime is 401241287. The next prime is 401241301. The reversal of 401241300 is 3142104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401241300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401241301) 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, 6366 + ... + 29034.

Almost surely, 2^401241300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590326800).

401241300 is an abundant number, since it is smaller than the sum of its proper divisors (779412300).

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

401241300 is a wasteful number, since it uses less digits than its factorization.

401241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22745 (or 22738 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 401241300 is about 20031.0084618823. The cubic root of 401241300 is about 737.5676774051.

Adding to 401241300 its reverse (3142104), we get a palindrome (404383404).

The spelling of 401241300 in words is "four hundred one million, two hundred forty-one thousand, three hundred".