400160 has 48 divisors (see below), whose sum is σ = 984312. Its totient is φ = 153600.

The previous prime is 400157. The next prime is 400187. The reversal of 400160 is 61004.

400160 = T₃₉ + T₄₀ + ... + T₁₃₄.

400160 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 300304 = 316^2 + 548^2 .

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400160.

It is an unprimeable number.

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, 6530 + ... + 6590.

2⁴⁰⁰¹⁶⁰ is an apocalyptic number.

400160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156).

400160 is an abundant number, since it is smaller than the sum of its proper divisors (584152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400160 is a wasteful number, since it uses less digits than its factorization.

400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 400160 is about 632.5820104935. The cubic root of 400160 is about 73.6904527472.

Adding to 400160 its reverse (61004), we get a palindrome (461164).

It can be divided in two parts, 400 and 160, that multiplied together give a cube (64000 = 40³).

The spelling of 400160 in words is "four hundred thousand, one hundred sixty".