406665760 has 96 divisors (see below), whose sum is σ = 1020055680. Its totient is φ = 152875008.

The previous prime is 406665739. The next prime is 406665793. The reversal of 406665760 is 67566604.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216184 + ... + 218056.

It is an arithmetic number, because the mean of its divisors is an integer number (10625580).

Almost surely, 2^406665760 is an apocalyptic number.

406665760 is a gapful number since it is divisible by the number (40) 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 406665760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510027840).

406665760 is an abundant number, since it is smaller than the sum of its proper divisors (613389920).

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

406665760 is a wasteful number, since it uses less digits than its factorization.

406665760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 406665760 is about 20165.9554695531. The cubic root of 406665760 is about 740.8765847799.

The spelling of 406665760 in words is "four hundred six million, six hundred sixty-five thousand, seven hundred sixty".