900916224 has 176 divisors, whose sum is σ = 2740163328. Its totient is φ = 260702208.

The previous prime is 900916193. The next prime is 900916229. The reversal of 900916224 is 422619009.

It is not an unprimeable number, because it can be changed into a prime (900916229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678249 + ... + 679575.

Almost surely, 2^900916224 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 900916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370081664).

900916224 is an abundant number, since it is smaller than the sum of its proper divisors (1839247104).

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

900916224 is a wasteful number, since it uses less digits than its factorization.

900916224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 900916224 is about 30015.2665155584. The cubic root of 900916224 is about 965.8169048026.

The spelling of 900916224 in words is "nine hundred million, nine hundred sixteen thousand, two hundred twenty-four".