407987660 has 48 divisors (see below), whose sum is σ = 890416800. Its totient is φ = 156839424.

The previous prime is 407987653. The next prime is 407987677. The reversal of 407987660 is 66789704.

It is a happy number.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133631 + ... + 136649.

It is an arithmetic number, because the mean of its divisors is an integer number (18550350).

Almost surely, 2^407987660 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 407987660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445208400).

407987660 is an abundant number, since it is smaller than the sum of its proper divisors (482429140).

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

407987660 is a wasteful number, since it uses less digits than its factorization.

407987660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 407987660 is about 20198.7044138974. The cubic root of 407987660 is about 741.6784763231.

The spelling of 407987660 in words is "four hundred seven million, nine hundred eighty-seven thousand, six hundred sixty".