401004305 has 16 divisors (see below), whose sum is σ = 523571664. Its totient is φ = 293068800.

The previous prime is 401004299. The next prime is 401004319. The reversal of 401004305 is 503400104.

It can be written as a sum of positive squares in 8 ways, for example, as 1364224 + 399640081 = 1168^2 + 19991^2 .

It is not a de Polignac number, because 401004305 - 2¹⁴ = 400987921 is a prime.

It is a super-3 number, since 3×401004305³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25496 + ... + 38105.

It is an arithmetic number, because the mean of its divisors is an integer number (32723229).

Almost surely, 2^401004305 is an apocalyptic number.

It is an amenable number.

401004305 is a deficient number, since it is larger than the sum of its proper divisors (122567359).

401004305 is a wasteful number, since it uses less digits than its factorization.

401004305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63716.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 401004305 is about 20025.0918849328. The cubic root of 401004305 is about 737.4224329031.

Adding to 401004305 its reverse (503400104), we get a palindrome (904404409).

The spelling of 401004305 in words is "four hundred one million, four thousand, three hundred five".