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900000000 = 283258
BaseRepresentation
bin110101101001001…
…110100100000000
32022201111201220100
4311221032210000
53320400000000
6225150042400
731205605464
oct6551164400
92281451810
10900000000
11422032359
122114a9400
131145c66a3
148775a4a4
155402ba00
hex35a4e900

900000000 has 243 divisors, whose sum is σ = 3243650683. Its totient is φ = 240000000.

The previous prime is 899999963. The next prime is 900000011. The reversal of 900000000 is 9.

The square root of 900000000 is 30000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 639887616 + 260112384 = 25296^2 + 16128^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179999998 + ... + 180000002.

Almost surely, 2900000000 is an apocalyptic number.

900000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

900000000 is the 30000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900000000

900000000 is an abundant number, since it is smaller than the sum of its proper divisors (2343650683).

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

900000000 is an frugal number, since it uses more digits than its factorization.

900000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The cubic root of 900000000 is about 965.4893846056.

The spelling of 900000000 in words is "nine hundred million", and thus it is an aban number.