900550980 has 192 divisors, whose sum is σ = 3370752000. Its totient is φ = 194990976.

The previous prime is 900550967. The next prime is 900551011. The reversal of 900550980 is 89055009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65551 + ... + 78089.

It is an arithmetic number, because the mean of its divisors is an integer number (17556000).

Almost surely, 2^900550980 is an apocalyptic number.

900550980 is a gapful number since it is divisible by the number (90) 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 900550980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685376000).

900550980 is an abundant number, since it is smaller than the sum of its proper divisors (2470201020).

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

900550980 is a wasteful number, since it uses less digits than its factorization.

900550980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 900550980 is about 30009.1815949719. The cubic root of 900550980 is about 965.6863686136.

The spelling of 900550980 in words is "nine hundred million, five hundred fifty thousand, nine hundred eighty".