407704 has 32 divisors (see below), whose sum is σ = 861840. Its totient is φ = 179200.

The previous prime is 407699. The next prime is 407707.

It is a happy number.

407704 is nontrivially palindromic in base 10.

407704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3552 + ... + 3664.

2⁴⁰⁷⁷⁰⁴ is an apocalyptic number.

407704 is a gapful number since it is divisible by the number (44) 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 407704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

407704 is an abundant number, since it is smaller than the sum of its proper divisors (454136).

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

407704 is a wasteful number, since it uses less digits than its factorization.

407704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 407704 is about 638.5170318793. The cubic root of 407704 is about 74.1506548498.

It can be divided in two parts, 407 and 704, that added together give a palindrome (1111).

The spelling of 407704 in words is "four hundred seven thousand, seven hundred four", and thus it is an iban number.