407808 has 72 divisors (see below), whose sum is σ = 1226400. Its totient is φ = 133632.

The previous prime is 407807. The next prime is 407821. The reversal of 407808 is 808704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (407801) 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, 6883 + ... + 6941.

2⁴⁰⁷⁸⁰⁸ is an apocalyptic number.

407808 is a gapful number since it is divisible by the number (48) 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 407808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613200).

407808 is an abundant number, since it is smaller than the sum of its proper divisors (818592).

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

407808 is an equidigital number, since it uses as much as digits as its factorization.

407808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 407808 is about 638.5984653912. The cubic root of 407808 is about 74.1569592704.

Adding to 407808 its product of nonzero digits (1792), we get a square (409600 = 640²).

The spelling of 407808 in words is "four hundred seven thousand, eight hundred eight".