401124820 has 24 divisors (see below), whose sum is σ = 842842728. Its totient is φ = 160358400.

The previous prime is 401124817. The next prime is 401124821. The reversal of 401124820 is 28421104.

It can be written as a sum of positive squares in 4 ways, for example, as 132296004 + 268828816 = 11502^2 + 16396^2 .

It is a super-2 number, since 2×401124820² = 321802242440064800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401124791 and 401124800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401124821) 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 7 ways as a sum of consecutive naturals, for example, 38580 + ... + 47860.

It is an arithmetic number, because the mean of its divisors is an integer number (35118447).

Almost surely, 2^401124820 is an apocalyptic number.

It is an amenable number.

401124820 is an abundant number, since it is smaller than the sum of its proper divisors (441717908).

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

401124820 is a wasteful number, since it uses less digits than its factorization.

401124820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11451 (or 11449 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 401124820 is about 20028.1007586840. The cubic root of 401124820 is about 737.4962987461.

Adding to 401124820 its reverse (28421104), we get a palindrome (429545924).

The spelling of 401124820 in words is "four hundred one million, one hundred twenty-four thousand, eight hundred twenty".