401591601 has 10 divisors (see below), whose sum is σ = 599908562. Its totient is φ = 267727680.

The previous prime is 401591587. The next prime is 401591611. The reversal of 401591601 is 106195104.

401591601 is a `hidden beast` number, since 4 + 0 + 1 + 59 + 1 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 292410000 + 109181601 = 17100^2 + 10449^2 .

It is not a de Polignac number, because 401591601 - 2⁷ = 401591473 is a prime.

It is a super-2 number, since 2×401591601² = 322551627987486402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401591611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2478880 + ... + 2479041.

Almost surely, 2^401591601 is an apocalyptic number.

It is an amenable number.

401591601 is a deficient number, since it is larger than the sum of its proper divisors (198316961).

401591601 is an equidigital number, since it uses as much as digits as its factorization.

401591601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957933 (or 4957924 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 401591601 is about 20039.7505223992. The cubic root of 401591601 is about 737.7822577934.

The spelling of 401591601 in words is "four hundred one million, five hundred ninety-one thousand, six hundred one".