1490444800 has 240 divisors, whose sum is σ = 4075754760. Its totient is φ = 539934720.

The previous prime is 1490444749. The next prime is 1490444831. The reversal of 1490444800 is 84440941.

It can be written as a sum of positive squares in 12 ways, for example, as 493906176 + 996538624 = 22224^2 + 31568^2 .

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, 28121574 + ... + 28121626.

Almost surely, 2^1490444800 is an apocalyptic number.

1490444800 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 1490444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037877380).

1490444800 is an abundant number, since it is smaller than the sum of its proper divisors (2585309960).

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

1490444800 is an frugal number, since it uses more digits than its factorization.

1490444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1490444800 is about 38606.2792820028. The cubic root of 1490444800 is about 1142.2784022144.

The spelling of 1490444800 in words is "one billion, four hundred ninety million, four hundred forty-four thousand, eight hundred".