411772 has 12 divisors (see below), whose sum is σ = 727776. Its totient is φ = 203840.

The previous prime is 411751. The next prime is 411779. The reversal of 411772 is 277114.

It is a plaindrome in base 7 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411779) by changing a digit.

411772 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 in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 907.

It is an arithmetic number, because the mean of its divisors is an integer number (60648).

411772 is a Friedman number, since it can be written as 7^7/2+(1+1)/4, using all its digits and the basic arithmetic operations.

2⁴¹¹⁷⁷² is an apocalyptic number.

It is an amenable number.

411772 is a deficient number, since it is larger than the sum of its proper divisors (316004).

411772 is a wasteful number, since it uses less digits than its factorization.

411772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1026 counting only the distinct ones).

The product of its digits is 392, while the sum is 22.

The square root of 411772 is about 641.6946314253. The cubic root of 411772 is about 74.3964599233.

Adding to 411772 its product of digits (392), we get a square (412164 = 642²).

Adding to 411772 its reverse (277114), we get a palindrome (688886).

The spelling of 411772 in words is "four hundred eleven thousand, seven hundred seventy-two", and thus it is an iban number.