401261305 has 16 divisors (see below), whose sum is σ = 487541520. Its totient is φ = 317011968.

The previous prime is 401261293. The next prime is 401261327. The reversal of 401261305 is 503162104.

It can be written as a sum of positive squares in 8 ways, for example, as 297873081 + 103388224 = 17259^2 + 10168^2 .

It is a cyclic number.

It is not a de Polignac number, because 401261305 - 2⁹ = 401260793 is a prime.

It is a super-2 number, since 2×401261305² = 322021269780606050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175711 + ... + 177979.

It is an arithmetic number, because the mean of its divisors is an integer number (30471345).

Almost surely, 2^401261305 is an apocalyptic number.

It is an amenable number.

401261305 is a deficient number, since it is larger than the sum of its proper divisors (86280215).

401261305 is a wasteful number, since it uses less digits than its factorization.

401261305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 401261305 is about 20031.5078064533. The cubic root of 401261305 is about 737.5799350302.

The spelling of 401261305 in words is "four hundred one million, two hundred sixty-one thousand, three hundred five".