400449 has 8 divisors (see below), whose sum is σ = 610240. Its totient is φ = 228816.

The previous prime is 400441. The next prime is 400457. The reversal of 400449 is 944004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400441) and next prime (400457).

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

It is not a de Polignac number, because 400449 - 2³ = 400441 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: 19069 = 400449 / (4 + 0 + 0 + 4 + 4 + 9).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400449.

It is not an unprimeable number, because it can be changed into a prime (400441) 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, 9514 + ... + 9555.

It is an arithmetic number, because the mean of its divisors is an integer number (76280).

2⁴⁰⁰⁴⁴⁹ is an apocalyptic number.

It is an amenable number.

400449 is a deficient number, since it is larger than the sum of its proper divisors (209791).

400449 is a wasteful number, since it uses less digits than its factorization.

400449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19079.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 400449 is about 632.8103981447. The cubic root of 400449 is about 73.7081884996.

The spelling of 400449 in words is "four hundred thousand, four hundred forty-nine".