900218880 has 480 divisors, whose sum is σ = 3586020480. Its totient is φ = 212336640.

The previous prime is 900218861. The next prime is 900218881. The reversal of 900218880 is 88812009.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (900218881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24330222 + ... + 24330258.

It is an arithmetic number, because the mean of its divisors is an integer number (7470876).

Almost surely, 2^900218880 is an apocalyptic number.

900218880 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 900218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793010240).

900218880 is an abundant number, since it is smaller than the sum of its proper divisors (2685801600).

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

900218880 is a wasteful number, since it uses less digits than its factorization.

900218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 900218880 is about 30003.6477782286. The cubic root of 900218880 is about 965.5676472676.

The spelling of 900218880 in words is "nine hundred million, two hundred eighteen thousand, eight hundred eighty".