1008290200 has 24 divisors (see below), whose sum is σ = 2344275180. Its totient is φ = 403316000.

The previous prime is 1008290161. The next prime is 1008290203. The reversal of 1008290200 is 20928001.

It is a super-3 number, since 3×1008290200³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008290203) 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 5 ways as a sum of consecutive naturals, for example, 2520526 + ... + 2520925.

Almost surely, 2^1008290200 is an apocalyptic number.

1008290200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008290200 is an abundant number, since it is smaller than the sum of its proper divisors (1335984980).

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

1008290200 is a wasteful number, since it uses less digits than its factorization.

1008290200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041467 (or 5041458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1008290200 is about 31753.5856243039. The cubic root of 1008290200 is about 1002.7557985979.

The spelling of 1008290200 in words is "one billion, eight million, two hundred ninety thousand, two hundred".