1444046920 has 32 divisors (see below), whose sum is σ = 3252166200. Its totient is φ = 577074688.

The previous prime is 1444046897. The next prime is 1444046921. The reversal of 1444046920 is 296404441.

It can be written as a sum of positive squares in 4 ways, for example, as 1248774244 + 195272676 = 35338^2 + 13974^2 .

It is a super-2 number, since 2×1444046920² = 4170543014322972800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444046921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27426 + ... + 60334.

Almost surely, 2^1444046920 is an apocalyptic number.

1444046920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444046920 is the 21940-th octagonal number.

It is an amenable number.

1444046920 is an abundant number, since it is smaller than the sum of its proper divisors (1808119280).

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

1444046920 is a wasteful number, since it uses less digits than its factorization.

1444046920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34017 (or 34013 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1444046920 is about 38000.6173634061. The cubic root of 1444046920 is about 1130.3001056355.

The spelling of 1444046920 in words is "one billion, four hundred forty-four million, forty-six thousand, nine hundred twenty".