401057329 has 2 divisors, whose sum is σ = 401057330. Its totient is φ = 401057328.

The previous prime is 401057317. The next prime is 401057357. The reversal of 401057329 is 923750104.

401057329 = T₁₆₃₅₀ + T₁₆₃₅₁ + T₁₆₃₅₂.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316840000 + 84217329 = 17800^2 + 9177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401057329 is a prime.

It is a super-2 number, since 2×401057329² = 321693962289228482, which contains 22 as substring.

It is a Chen prime.

It is equal to p_21389602 and since 401057329 and 21389602 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401057329.

It is not a weakly prime, because it can be changed into another prime (401057389) 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 as a sum of consecutive naturals, namely, 200528664 + 200528665.

It is an arithmetic number, because the mean of its divisors is an integer number (200528665).

Almost surely, 2^401057329 is an apocalyptic number.

401057329 is the 16352-nd centered triangular number.

It is an amenable number.

401057329 is a deficient number, since it is larger than the sum of its proper divisors (1).

401057329 is an equidigital number, since it uses as much as digits as its factorization.

401057329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 401057329 is about 20026.4157801640. The cubic root of 401057329 is about 737.4549341035.

The spelling of 401057329 in words is "four hundred one million, fifty-seven thousand, three hundred twenty-nine".