400365 has 48 divisors (see below), whose sum is σ = 838656. Its totient is φ = 172800.

The previous prime is 400339. The next prime is 400381. The reversal of 400365 is 563004.

It is a happy number.

It is not a de Polignac number, because 400365 - 2⁷ = 400237 is a prime.

400365 is a Rhonda number in base 6.

It is a Curzon number.

400365 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400365.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9745 + ... + 9785.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2⁴⁰⁰³⁶⁵ is an apocalyptic number.

400365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400365 is an abundant number, since it is smaller than the sum of its proper divisors (438291).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400365 is a wasteful number, since it uses less digits than its factorization.

400365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 400365 is about 632.7440240729. The cubic root of 400365 is about 73.7030343511.

Adding to 400365 its reverse (563004), we get a palindrome (963369).

The spelling of 400365 in words is "four hundred thousand, three hundred sixty-five".