400361 has 12 divisors (see below), whose sum is σ = 456768. Its totient is φ = 350064.

The previous prime is 400339. The next prime is 400381. The reversal of 400361 is 163004.

It is not a de Polignac number, because 400361 - 2⁶ = 400297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3836 + ... + 3938.

It is an arithmetic number, because the mean of its divisors is an integer number (38064).

2⁴⁰⁰³⁶¹ is an apocalyptic number.

It is an amenable number.

400361 is a deficient number, since it is larger than the sum of its proper divisors (56407).

400361 is a wasteful number, since it uses less digits than its factorization.

400361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 400361 is about 632.7408632292. The cubic root of 400361 is about 73.7027888975.

Adding to 400361 its reverse (163004), we get a palindrome (563365).

It can be divided in two parts, 400 and 361, that multiplied together give a square (144400 = 380²).

The spelling of 400361 in words is "four hundred thousand, three hundred sixty-one".