1444764672 has 264 divisors, whose sum is σ = 4649473920. Its totient is φ = 429096960.

The previous prime is 1444764637. The next prime is 1444764691. The reversal of 1444764672 is 2764674441.

It is a happy number.

1444764672 is a `hidden beast` number, since 144 + 47 + 6 + 467 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3713854 + ... + 3714242.

Almost surely, 2^1444764672 is an apocalyptic number.

1444764672 is a gapful number since it is divisible by the number (12) 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 1444764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324736960).

1444764672 is an abundant number, since it is smaller than the sum of its proper divisors (3204709248).

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

1444764672 is a wasteful number, since it uses less digits than its factorization.

1444764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 1444764672 is about 38010.0601420203. The cubic root of 1444764672 is about 1130.4873435003.

The spelling of 1444764672 in words is "one billion, four hundred forty-four million, seven hundred sixty-four thousand, six hundred seventy-two".