410772 has 12 divisors (see below), whose sum is σ = 958496. Its totient is φ = 136920.

The previous prime is 410759. The next prime is 410783. The reversal of 410772 is 277014.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

410772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17104 + ... + 17127.

2⁴¹⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

410772 is an abundant number, since it is smaller than the sum of its proper divisors (547724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

410772 is a wasteful number, since it uses less digits than its factorization.

410772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34238 (or 34236 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 410772 is about 640.9149709595. The cubic root of 410772 is about 74.3361864662.

Adding to 410772 its reverse (277014), we get a palindrome (687786).

The spelling of 410772 in words is "four hundred ten thousand, seven hundred seventy-two", and thus it is an iban number.