900322560 has 288 divisors, whose sum is σ = 3237696000. Its totient is φ = 236888064.

The previous prime is 900322547. The next prime is 900322561. The reversal of 900322560 is 65223009.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900322561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766921 + ... + 3767159.

It is an arithmetic number, because the mean of its divisors is an integer number (11242000).

Almost surely, 2^900322560 is an apocalyptic number.

900322560 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 900322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618848000).

900322560 is an abundant number, since it is smaller than the sum of its proper divisors (2337373440).

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

900322560 is a wasteful number, since it uses less digits than its factorization.

900322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 900322560 is about 30005.3755183967. The cubic root of 900322560 is about 965.6047146271.

Adding to 900322560 its reverse (65223009), we get a palindrome (965545569).

The spelling of 900322560 in words is "nine hundred million, three hundred twenty-two thousand, five hundred sixty".