1450890000 has 600 divisors, whose sum is σ = 6043065600. Its totient is φ = 324576000.

The previous prime is 1450889929. The next prime is 1450890017. The reversal of 1450890000 is 980541.

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30869977 + ... + 30870023.

It is an arithmetic number, because the mean of its divisors is an integer number (10071776).

Almost surely, 2^1450890000 is an apocalyptic number.

1450890000 is a gapful number since it is divisible by the number (10) 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 1450890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021532800).

1450890000 is an abundant number, since it is smaller than the sum of its proper divisors (4592175600).

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

1450890000 is an equidigital number, since it uses as much as digits as its factorization.

1450890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1450890000 is about 38090.5500091558. The cubic root of 1450890000 is about 1132.0827227523.

The spelling of 1450890000 in words is "one billion, four hundred fifty million, eight hundred ninety thousand".