401303120 has 40 divisors (see below), whose sum is σ = 941610120. Its totient is φ = 159045120.

The previous prime is 401303059. The next prime is 401303129. The reversal of 401303120 is 21303104.

It can be written as a sum of positive squares in 4 ways, for example, as 184742464 + 216560656 = 13592^2 + 14716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401303120² = 322088388243468800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401303095 and 401303104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401303129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14291 + ... + 31730.

It is an arithmetic number, because the mean of its divisors is an integer number (23540253).

Almost surely, 2^401303120 is an apocalyptic number.

401303120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401303120 is an abundant number, since it is smaller than the sum of its proper divisors (540307000).

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

401303120 is a wasteful number, since it uses less digits than its factorization.

401303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46143 (or 46137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 401303120 is about 20032.5515099800. The cubic root of 401303120 is about 737.6055549386.

Adding to 401303120 its reverse (21303104), we get a palindrome (422606224).

The spelling of 401303120 in words is "four hundred one million, three hundred three thousand, one hundred twenty".