900408216 has 32 divisors (see below), whose sum is σ = 2305926000. Its totient is φ = 292815360.

The previous prime is 900408203. The next prime is 900408217. The reversal of 900408216 is 612804009.

900408216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900408217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456541 + ... + 458508.

Almost surely, 2^900408216 is an apocalyptic number.

It is an amenable number.

900408216 is an abundant number, since it is smaller than the sum of its proper divisors (1405517784).

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

900408216 is a wasteful number, since it uses less digits than its factorization.

900408216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915099 (or 915095 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 900408216 is about 30006.8028286920. The cubic root of 900408216 is about 965.6353359541.

The spelling of 900408216 in words is "nine hundred million, four hundred eight thousand, two hundred sixteen".