404072 has 16 divisors (see below), whose sum is σ = 772740. Its totient is φ = 198016.

The previous prime is 404051. The next prime is 404081. The reversal of 404072 is 270404.

It can be written as a sum of positive squares in 2 ways, for example, as 401956 + 2116 = 634^2 + 46^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 404072.

It is an unprimeable number.

404072 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, 53 + ... + 900.

2⁴⁰⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

404072 is a deficient number, since it is larger than the sum of its proper divisors (368668).

404072 is a wasteful number, since it uses less digits than its factorization.

404072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 404072 is about 635.6665792694. Note that the first 3 decimals coincide. The cubic root of 404072 is about 73.9298092653.

Adding to 404072 its reverse (270404), we get a palindrome (674476).

The spelling of 404072 in words is "four hundred four thousand, seventy-two", and thus it is an iban number.