900282240 has 384 divisors, whose sum is σ = 3655622880. Its totient is φ = 201277440.

The previous prime is 900282217. The next prime is 900282241. The reversal of 900282240 is 42282009.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×900282240² = 1621016223318835200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900282241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823134 + ... + 824226.

Almost surely, 2^900282240 is an apocalyptic number.

900282240 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 900282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827811440).

900282240 is an abundant number, since it is smaller than the sum of its proper divisors (2755340640).

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

900282240 is a wasteful number, since it uses less digits than its factorization.

900282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 900282240 is about 30004.7036312642. The cubic root of 900282240 is about 965.5902998810.

The spelling of 900282240 in words is "nine hundred million, two hundred eighty-two thousand, two hundred forty".