400829 has 8 divisors (see below), whose sum is σ = 471072. Its totient is φ = 336240.

The previous prime is 400823. The next prime is 400837. The reversal of 400829 is 928004.

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 400829 - 2¹² = 396733 is a prime.

It is a Duffinian number.

It is a congruent 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, 1259 + ... + 1544.

It is an arithmetic number, because the mean of its divisors is an integer number (58884).

2⁴⁰⁰⁸²⁹ is an apocalyptic number.

It is an amenable number.

400829 is a deficient number, since it is larger than the sum of its proper divisors (70243).

400829 is a wasteful number, since it uses less digits than its factorization.

400829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 400829 is about 633.1105748603. The cubic root of 400829 is about 73.7314958843.

The spelling of 400829 in words is "four hundred thousand, eight hundred twenty-nine".