414272 has 14 divisors (see below), whose sum is σ = 822198. Its totient is φ = 207104.

The previous prime is 414269. The next prime is 414277. The reversal of 414272 is 272414.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 118336 = 544^2 + 344^2 .

It is not an unprimeable number, because it can be changed into a prime (414277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3173 + ... + 3300.

2⁴¹⁴²⁷² is an apocalyptic number.

It is an amenable number.

414272 is a deficient number, since it is larger than the sum of its proper divisors (407926).

414272 is an equidigital number, since it uses as much as digits as its factorization.

414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6475 counting only the distinct ones).

The product of its digits is 448, while the sum is 20.

The square root of 414272 is about 643.6396507363. The cubic root of 414272 is about 74.5467178413.

Adding to 414272 its reverse (272414), we get a palindrome (686686).

It can be divided in two parts, 414 and 272, that added together give a palindrome (686).

The spelling of 414272 in words is "four hundred fourteen thousand, two hundred seventy-two", and thus it is an iban number.