1444884480 has 520 divisors, whose sum is σ = 5661226032. Its totient is φ = 350355456.

The previous prime is 1444884479. The next prime is 1444884499. The reversal of 1444884480 is 844884441.

It is a tau number, because it is divible by the number of its divisors (520).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 21565407 + ... + 21565473.

Almost surely, 2^1444884480 is an apocalyptic number.

1444884480 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 1444884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830613016).

1444884480 is an abundant number, since it is smaller than the sum of its proper divisors (4216341552).

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

1444884480 is an equidigital number, since it uses as much as digits as its factorization.

1444884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The square root of 1444884480 is about 38011.6361131693. The cubic root of 1444884480 is about 1130.5185914229.

The spelling of 1444884480 in words is "one billion, four hundred forty-four million, eight hundred eighty-four thousand, four hundred eighty".