1450608000 has 256 divisors, whose sum is σ = 4918717440. Its totient is φ = 378009600.

The previous prime is 1450607981. The next prime is 1450608059. The reversal of 1450608000 is 8060541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2255679 + ... + 2256321.

It is an arithmetic number, because the mean of its divisors is an integer number (19213740).

Almost surely, 2^1450608000 is an apocalyptic number.

1450608000 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 1450608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459358720).

1450608000 is an abundant number, since it is smaller than the sum of its proper divisors (3468109440).

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

1450608000 is an equidigital number, since it uses as much as digits as its factorization.

1450608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1450608000 is about 38086.8481237290. The cubic root of 1450608000 is about 1132.0093728284.

Adding to 1450608000 its reverse (8060541), we get a palindrome (1458668541).

The spelling of 1450608000 in words is "one billion, four hundred fifty million, six hundred eight thousand".