1494144000 has 264 divisors, whose sum is σ = 5388408168. Its totient is φ = 398131200.

The previous prime is 1494143993. The next prime is 1494144013. The reversal of 1494144000 is 4414941.

It can be written as a sum of positive squares in 4 ways, for example, as 34292736 + 1459851264 = 5856^2 + 38208^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151352 + ... + 1152648.

It is an arithmetic number, because the mean of its divisors is an integer number (20410637).

Almost surely, 2^1494144000 is an apocalyptic number.

1494144000 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 1494144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694204084).

1494144000 is an abundant number, since it is smaller than the sum of its proper divisors (3894264168).

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

1494144000 is a wasteful number, since it uses less digits than its factorization.

1494144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1494144000 is about 38654.1588965534. The cubic root of 1494144000 is about 1143.2226449995. Note that the first 3 decimals are identical.

Adding to 1494144000 its reverse (4414941), we get a palindrome (1498558941).

The spelling of 1494144000 in words is "one billion, four hundred ninety-four million, one hundred forty-four thousand".