905505983460 has 144 divisors (see below), whose sum is σ = 2958339938736. Its totient is φ = 222867127296.

The previous prime is 905505983401. The next prime is 905505983489. The reversal of 905505983460 is 64389505509.

It is a happy number.

905505983460 is a `hidden beast` number, since 9 + 0 + 5 + 5 + 0 + 598 + 3 + 46 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35419992804 + 870085990656 = 188202^2 + 932784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 905505983397 and 905505983406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25621722 + ... + 25657038.

Almost surely, 2^905505983460 is an apocalyptic number.

905505983460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

905505983460 is an abundant number, since it is smaller than the sum of its proper divisors (2052833955276).

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

905505983460 is a wasteful number, since it uses less digits than its factorization.

905505983460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46302 (or 46297 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 905505983460 in words is "nine hundred five billion, five hundred five million, nine hundred eighty-three thousand, four hundred sixty".