401481072 has 60 divisors (see below), whose sum is σ = 1127967984. Its totient is φ = 133305600.

The previous prime is 401481049. The next prime is 401481079. The reversal of 401481072 is 270184104.

It is a super-2 number, since 2×401481072² = 322374102348538368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401481079) 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 11 ways as a sum of consecutive naturals, for example, 32572 + ... + 43172.

Almost surely, 2^401481072 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 401481072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563983992).

401481072 is an abundant number, since it is smaller than the sum of its proper divisors (726486912).

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

401481072 is a wasteful number, since it uses less digits than its factorization.

401481072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 401481072 is about 20036.9925887095. The cubic root of 401481072 is about 737.7145656261.

The spelling of 401481072 in words is "four hundred one million, four hundred eighty-one thousand, seventy-two".