407744 has 28 divisors (see below), whose sum is σ = 847344. Its totient is φ = 194304.

The previous prime is 407741. The next prime is 407747. The reversal of 407744 is 447704.

It is an interprime number because it is at equal distance from previous prime (407741) and next prime (407747).

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (407741) by changing a digit.

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, 1334 + ... + 1610.

2⁴⁰⁷⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423672).

407744 is an abundant number, since it is smaller than the sum of its proper divisors (439600).

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

407744 is a wasteful number, since it uses less digits than its factorization.

407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 407744 is about 638.5483536898. The cubic root of 407744 is about 74.1530797538.

The spelling of 407744 in words is "four hundred seven thousand, seven hundred forty-four", and thus it is an iban number.