900545880 has 128 divisors (see below), whose sum is σ = 2929489920. Its totient is φ = 220147200.

The previous prime is 900545873. The next prime is 900545993. The reversal of 900545880 is 88545009.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233649 + ... + 237471.

It is an arithmetic number, because the mean of its divisors is an integer number (22886640).

Almost surely, 2^900545880 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 900545880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464744960).

900545880 is an abundant number, since it is smaller than the sum of its proper divisors (2028944040).

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

900545880 is a wasteful number, since it uses less digits than its factorization.

900545880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 900545880 is about 30009.0966208581. The cubic root of 900545880 is about 965.6845456520.

The spelling of 900545880 in words is "nine hundred million, five hundred forty-five thousand, eight hundred eighty".