900359712 has 432 divisors, whose sum is σ = 3293952480. Its totient is φ = 240371712.

The previous prime is 900359699. The next prime is 900359717. The reversal of 900359712 is 217953009.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×900359712² = 1621295221985445888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (900359717) 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 71 ways as a sum of consecutive naturals, for example, 6477339 + ... + 6477477.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890).

Almost surely, 2^900359712 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 900359712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646976240).

900359712 is an abundant number, since it is smaller than the sum of its proper divisors (2393592768).

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

900359712 is a wasteful number, since it uses less digits than its factorization.

900359712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 900359712 is about 30005.9946010793. The cubic root of 900359712 is about 965.6179964050.

The spelling of 900359712 in words is "nine hundred million, three hundred fifty-nine thousand, seven hundred twelve".