900480080 has 40 divisors (see below), whose sum is σ = 2095188072. Its totient is φ = 359921664.

The previous prime is 900480079. The next prime is 900480083. The reversal of 900480080 is 80084009.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 900480064 = 4^2 + 30008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900480083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129164 + ... + 135956.

Almost surely, 2^900480080 is an apocalyptic number.

It is an amenable number.

900480080 is an abundant number, since it is smaller than the sum of its proper divisors (1194707992).

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

900480080 is a wasteful number, since it uses less digits than its factorization.

900480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 900480080 is about 30008.0002665956. Note that the first 3 decimals coincide. The cubic root of 900480080 is about 965.6610252546.

The spelling of 900480080 in words is "nine hundred million, four hundred eighty thousand, eighty".