401006349 has 16 divisors (see below), whose sum is σ = 594959040. Its totient is φ = 266943600.

The previous prime is 401006341. The next prime is 401006369. The reversal of 401006349 is 943600104.

It is not a de Polignac number, because 401006349 - 2³ = 401006341 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401006341) 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 15 ways as a sum of consecutive naturals, for example, 8334 + ... + 29520.

It is an arithmetic number, because the mean of its divisors is an integer number (37184940).

Almost surely, 2^401006349 is an apocalyptic number.

It is an amenable number.

401006349 is a deficient number, since it is larger than the sum of its proper divisors (193952691).

401006349 is a wasteful number, since it uses less digits than its factorization.

401006349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21897 (or 21891 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 401006349 is about 20025.1429208383. The cubic root of 401006349 is about 737.4236858314.

The spelling of 401006349 in words is "four hundred one million, six thousand, three hundred forty-nine".