401337460 has 24 divisors (see below), whose sum is σ = 848471400. Its totient is φ = 159456384.

The previous prime is 401337457. The next prime is 401337463. The reversal of 401337460 is 64733104.

It is an interprime number because it is at equal distance from previous prime (401337457) and next prime (401337463).

It can be written as a sum of positive squares in 4 ways, for example, as 38663524 + 362673936 = 6218^2 + 19044^2 .

It is a super-2 number, since 2×401337460² = 322143513598503200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401337463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64359 + ... + 70318.

It is an arithmetic number, because the mean of its divisors is an integer number (35352975).

Almost surely, 2^401337460 is an apocalyptic number.

It is an amenable number.

401337460 is an abundant number, since it is smaller than the sum of its proper divisors (447133940).

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

401337460 is a wasteful number, since it uses less digits than its factorization.

401337460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134835 (or 134833 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 401337460 is about 20033.4085966418. The cubic root of 401337460 is about 737.6265936091.

The spelling of 401337460 in words is "four hundred one million, three hundred thirty-seven thousand, four hundred sixty".