404712 has 96 divisors (see below), whose sum is σ = 1385280. Its totient is φ = 103680.

The previous prime is 404699. The next prime is 404713. The reversal of 404712 is 217404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (404713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5508 + ... + 5580.

It is an arithmetic number, because the mean of its divisors is an integer number (14430).

2⁴⁰⁴⁷¹² is an apocalyptic number.

404712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692640).

404712 is an abundant number, since it is smaller than the sum of its proper divisors (980568).

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

404712 is a wasteful number, since it uses less digits than its factorization.

404712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 404712 is about 636.1697886571. The cubic root of 404712 is about 73.9688205631.

The spelling of 404712 in words is "four hundred four thousand, seven hundred twelve", and thus it is an iban number.