401281024 has 39 divisors (see below), whose sum is σ = 805036053. Its totient is φ = 199999488.

The previous prime is 401280911. The next prime is 401281037. The reversal of 401281024 is 420182104.

The square root of 401281024 is 20032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2560000 + 398721024 = 1600^2 + 19968^2 .

It is a super-2 number, since 2×401281024² = 322052920444977152, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401280986 and 401281004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1281892 + ... + 1282204.

Almost surely, 2^401281024 is an apocalyptic number.

401281024 is the 20032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401281024

401281024 is an abundant number, since it is smaller than the sum of its proper divisors (403755029).

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

401281024 is an frugal number, since it uses more digits than its factorization.

401281024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 315 counting only the distinct ones).

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

The cubic root of 401281024 is about 737.5920170162.

The spelling of 401281024 in words is "four hundred one million, two hundred eighty-one thousand, twenty-four".