407008 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 164736.

The previous prime is 406993. The next prime is 407023. The reversal of 407008 is 800704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406993) and next prime (407023).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5113 + ... + 5191.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁴⁰⁷⁰⁰⁸ 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 407008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

407008 is an abundant number, since it is smaller than the sum of its proper divisors (560672).

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

407008 is a wasteful number, since it uses less digits than its factorization.

407008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 407008 is about 637.9717862100. The cubic root of 407008 is about 74.1084361068.

The spelling of 407008 in words is "four hundred seven thousand, eight".