900345600 has 972 divisors, whose sum is σ = 4225745160. Its totient is φ = 180633600.

The previous prime is 900345587. The next prime is 900345643. The reversal of 900345600 is 6543009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 31046386 + ... + 31046414.

Almost surely, 2^900345600 is an apocalyptic number.

900345600 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 900345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112872580).

900345600 is an abundant number, since it is smaller than the sum of its proper divisors (3325399560).

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

900345600 is a wasteful number, since it uses less digits than its factorization.

900345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

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

The square root of 900345600 is about 30005.7594471461. The cubic root of 900345600 is about 965.6129514317.

Adding to 900345600 its reverse (6543009), we get a palindrome (906888609).

The spelling of 900345600 in words is "nine hundred million, three hundred forty-five thousand, six hundred".