406480896 has 96 divisors (see below), whose sum is σ = 1204257600. Its totient is φ = 135475200.

The previous prime is 406480883. The next prime is 406480901. The reversal of 406480896 is 698084604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 51621 + ... + 58971.

It is an arithmetic number, because the mean of its divisors is an integer number (12544350).

Almost surely, 2^406480896 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 406480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602128800).

406480896 is an abundant number, since it is smaller than the sum of its proper divisors (797776704).

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

406480896 is an equidigital number, since it uses as much as digits as its factorization.

406480896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 406480896 is about 20161.3713819274. The cubic root of 406480896 is about 740.7643040643.

The spelling of 406480896 in words is "four hundred six million, four hundred eighty thousand, eight hundred ninety-six".