400833 has 6 divisors (see below), whose sum is σ = 578994. Its totient is φ = 267216.

The previous prime is 400823. The next prime is 400837. The reversal of 400833 is 338004.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 144 = 633^2 + 12^2 .

It is not a de Polignac number, because 400833 - 2⁹ = 400321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22260 + ... + 22277.

It is an arithmetic number, because the mean of its divisors is an integer number (96499).

2⁴⁰⁰⁸³³ is an apocalyptic number.

It is an amenable number.

400833 is a deficient number, since it is larger than the sum of its proper divisors (178161).

400833 is a wasteful number, since it uses less digits than its factorization.

400833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44543 (or 44540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400833 is about 633.1137338583. The cubic root of 400833 is about 73.7317411468.

Adding to 400833 its reverse (338004), we get a palindrome (738837).

The spelling of 400833 in words is "four hundred thousand, eight hundred thirty-three".