401215 has 8 divisors (see below), whose sum is σ = 498240. Its totient is φ = 309792.

The previous prime is 401209. The next prime is 401231. The reversal of 401215 is 512104.

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 401215 - 2⁷ = 401087 is a prime.

401215 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 401195 and 401204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239 + ... + 1528.

It is an arithmetic number, because the mean of its divisors is an integer number (62280).

2⁴⁰¹²¹⁵ is an apocalyptic number.

401215 is a deficient number, since it is larger than the sum of its proper divisors (97025).

401215 is a wasteful number, since it uses less digits than its factorization.

401215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 401215 is about 633.4153455672. The cubic root of 401215 is about 73.7551562037.

Adding to 401215 its reverse (512104), we get a palindrome (913319).

Subtracting 401215 from its reverse (512104), we obtain a square (110889 = 333²).

It can be divided in two parts, 401 and 215, that added together give a palindrome (616).

The spelling of 401215 in words is "four hundred one thousand, two hundred fifteen".