400995 has 48 divisors (see below), whose sum is σ = 848640. Its totient is φ = 171072.

The previous prime is 400963. The next prime is 400997. The reversal of 400995 is 599004.

400995 = T₁ + T₂ + ... + T₁₃₃.

It is a happy number.

400995 is a nontrivial binomial coefficient, being equal to C(135, 3).

It is not a de Polignac number, because 400995 - 2⁵ = 400963 is a prime.

400995 is a lucky number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400995.

It is not an unprimeable number, because it can be changed into a prime (400997) by changing a digit.

It is the 133-rd tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5952 + ... + 6018.

It is an arithmetic number, because the mean of its divisors is an integer number (17680).

2⁴⁰⁰⁹⁹⁵ is an apocalyptic number.

400995 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

400995 is an abundant number, since it is smaller than the sum of its proper divisors (447645).

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

400995 is a wasteful number, since it uses less digits than its factorization.

400995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 400995 is about 633.2416600319. The cubic root of 400995 is about 73.7416729083.

Adding to 400995 its reverse (599004), we get a palindrome (999999).

It can be divided in two parts, 40099 and 5, that added together give a palindrome (40104).

The spelling of 400995 in words is "four hundred thousand, nine hundred ninety-five".