407660 has 48 divisors (see below), whose sum is σ = 997920. Its totient is φ = 138240.

The previous prime is 407657. The next prime is 407669. The reversal of 407660 is 66704.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (407669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3686 + ... + 3794.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2⁴⁰⁷⁶⁶⁰ 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 407660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

407660 is an abundant number, since it is smaller than the sum of its proper divisors (590260).

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

407660 is a wasteful number, since it uses less digits than its factorization.

407660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 407660 is about 638.4825761131. The cubic root of 407660 is about 74.1479872722.

The spelling of 407660 in words is "four hundred seven thousand, six hundred sixty".