401505 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 188160.

The previous prime is 401477. The next prime is 401507. The reversal of 401505 is 505104.

401505 = 53² + 54² + ... + 110².

It is not a de Polignac number, because 401505 - 2⁵ = 401473 is a prime.

It is a super-2 number, since 2×401505² = 322412530050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

401505 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (401507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5620 + ... + 5690.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁰¹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

401505 is a deficient number, since it is larger than the sum of its proper divisors (324255).

401505 is a wasteful number, since it uses less digits than its factorization.

401505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 401505 is about 633.6442219416. The cubic root of 401505 is about 73.7729221098.

Adding to 401505 its reverse (505104), we get a palindrome (906609).

The spelling of 401505 in words is "four hundred one thousand, five hundred five".