4000401 has 16 divisors (see below), whose sum is σ = 5961600. Its totient is φ = 2651184.

The previous prime is 4000379. The next prime is 4000439. The reversal of 4000401 is 1040004.

4000401 = 181² + 182² + ... + 261².

It is not a de Polignac number, because 4000401 - 2⁷ = 4000273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4000301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5860 + ... + 6506.

It is an arithmetic number, because the mean of its divisors is an integer number (372600).

Almost surely, 2^4000401 is an apocalyptic number.

It is an amenable number.

4000401 is a deficient number, since it is larger than the sum of its proper divisors (1961199).

4000401 is a wasteful number, since it uses less digits than its factorization.

4000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4000401 is about 2000.1002474876. The cubic root of 4000401 is about 158.7454095848.

Adding to 4000401 its reverse (1040004), we get a palindrome (5040405).

The spelling of 4000401 in words is "four million, four hundred one", and thus it is an aban number.