410272 has 12 divisors (see below), whose sum is σ = 807786. Its totient is φ = 205120.

The previous prime is 410257. The next prime is 410279. The reversal of 410272 is 272014.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 5776 = 636^2 + 76^2 .

It is a super-2 number, since 2×410272² = 336646227968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (410279) by changing a digit.

410272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6379 + ... + 6442.

2⁴¹⁰²⁷² is an apocalyptic number.

It is an amenable number.

410272 is a deficient number, since it is larger than the sum of its proper divisors (397514).

410272 is a wasteful number, since it uses less digits than its factorization.

410272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 410272 is about 640.5247848444. The cubic root of 410272 is about 74.3060130496.

Adding to 410272 its reverse (272014), we get a palindrome (682286).

The spelling of 410272 in words is "four hundred ten thousand, two hundred seventy-two", and thus it is an iban number.