400393 has 8 divisors (see below), whose sum is σ = 467712. Its totient is φ = 335616.

The previous prime is 400391. The next prime is 400409. The reversal of 400393 is 393004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400393 - 2¹ = 400391 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400393.

It is not an unprimeable number, because it can be changed into a prime (400391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (58464).

2⁴⁰⁰³⁹³ is an apocalyptic number.

It is an amenable number.

400393 is a deficient number, since it is larger than the sum of its proper divisors (67319).

400393 is a wasteful number, since it uses less digits than its factorization.

400393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 400393 is about 632.7661495371. The cubic root of 400393 is about 73.7047524807.

Adding to 400393 its reverse (393004), we get a palindrome (793397).

It can be divided in two parts, 4003 and 93, that added together give a 12-th power (4096 = 2¹²).

The spelling of 400393 in words is "four hundred thousand, three hundred ninety-three".