900240000 has 480 divisors, whose sum is σ = 3390414720. Its totient is φ = 211200000.

The previous prime is 900239999. The next prime is 900240001. The reversal of 900240000 is 42009.

It is an interprime number because it is at equal distance from previous prime (900239999) and next prime (900240001).

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 (15).

It is not an unprimeable number, because it can be changed into a prime (900240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29039985 + ... + 29040015.

It is an arithmetic number, because the mean of its divisors is an integer number (7063364).

Almost surely, 2^900240000 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 900240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695207360).

900240000 is an abundant number, since it is smaller than the sum of its proper divisors (2490174720).

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

900240000 is a wasteful number, since it uses less digits than its factorization.

900240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 900240000 is about 30003.9997333689. Note that the first 3 decimals coincide. The cubic root of 900240000 is about 965.5751982568.

Adding to 900240000 its reverse (42009), we get a palindrome (900282009).

It can be divided in two parts, 900 and 240000, that multiplied together give a cube (216000000 = 600³).

The spelling of 900240000 in words is "nine hundred million, two hundred forty thousand".