414772 has 12 divisors (see below), whose sum is σ = 734020. Its totient is φ = 205056.

The previous prime is 414769. The next prime is 414773. The reversal of 414772 is 277414.

414772 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 190096 + 224676 = 436^2 + 474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147 + ... + 922.

2⁴¹⁴⁷⁷² is an apocalyptic number.

It is an amenable number.

414772 is a deficient number, since it is larger than the sum of its proper divisors (319248).

414772 is a wasteful number, since it uses less digits than its factorization.

414772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1168 counting only the distinct ones).

The product of its digits is 1568, while the sum is 25.

The square root of 414772 is about 644.0279497040. The cubic root of 414772 is about 74.5766968354.

The spelling of 414772 in words is "four hundred fourteen thousand, seven hundred seventy-two", and thus it is an iban number.