401585085 has 72 divisors (see below), whose sum is σ = 772323552. Its totient is φ = 192878400.

The previous prime is 401585071. The next prime is 401585089. The reversal of 401585085 is 580585104.

It is not a de Polignac number, because 401585085 - 2¹⁰ = 401584061 is a prime.

It is a super-2 number, since 2×401585085² = 322541160988914450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401585089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 713014 + ... + 713576.

It is an arithmetic number, because the mean of its divisors is an integer number (10726716).

Almost surely, 2^401585085 is an apocalyptic number.

401585085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401585085 is a deficient number, since it is larger than the sum of its proper divisors (370738467).

401585085 is a wasteful number, since it uses less digits than its factorization.

401585085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 401585085 is about 20039.5879448655. The cubic root of 401585085 is about 737.7782674915.

The spelling of 401585085 in words is "four hundred one million, five hundred eighty-five thousand, eighty-five".