400827 has 8 divisors (see below), whose sum is σ = 610816. Its totient is φ = 229032.

The previous prime is 400823. The next prime is 400837. The reversal of 400827 is 728004.

It is a happy number.

400827 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 400827 - 2² = 400823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 19087 = 400827 / (4 + 0 + 0 + 8 + 2 + 7).

It is a Duffinian number.

400827 is strictly pandigital in base 7.

400827 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (400823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9523 + ... + 9564.

It is an arithmetic number, because the mean of its divisors is an integer number (76352).

2⁴⁰⁰⁸²⁷ is an apocalyptic number.

400827 is a deficient number, since it is larger than the sum of its proper divisors (209989).

400827 is a wasteful number, since it uses less digits than its factorization.

400827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19097.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 400827 is about 633.1089953555. The cubic root of 400827 is about 73.7313732524.

The spelling of 400827 in words is "four hundred thousand, eight hundred twenty-seven".