401080729 has 9 divisors (see below), whose sum is σ = 466726431. Its totient is φ = 343663320.

The previous prime is 401080723. The next prime is 401080753. The reversal of 401080729 is 927080104.

The square root of 401080729 is 20027.

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., 224190729 + 176890000 = 14973^2 + 13300^2 .

It is not a de Polignac number, because 401080729 - 2¹¹ = 401078681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401080729.

It is not an unprimeable number, because it can be changed into a prime (401080723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 138759 + ... + 141619.

Almost surely, 2^401080729 is an apocalyptic number.

401080729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

401080729 is the 20027-th square number.

401080729 is the 10014-th centered octagonal number.

It is an amenable number.

401080729 is a deficient number, since it is larger than the sum of its proper divisors (65645702).

401080729 is an frugal number, since it uses more digits than its factorization.

401080729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The cubic root of 401080729 is about 737.4692762840.

The spelling of 401080729 in words is "four hundred one million, eighty thousand, seven hundred twenty-nine".