1444664520 has 192 divisors, whose sum is σ = 5180338800. Its totient is φ = 346890240.

The previous prime is 1444664503. The next prime is 1444664537. The reversal of 1444664520 is 254664441.

1444664520 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 6 + 645 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1444664503) and next prime (1444664537).

It can be written as a sum of positive squares in 8 ways, for example, as 32558436 + 1412106084 = 5706^2 + 37578^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188116 + ... + 195644.

Almost surely, 2^1444664520 is an apocalyptic number.

1444664520 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 1444664520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590169400).

1444664520 is an abundant number, since it is smaller than the sum of its proper divisors (3735674280).

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

1444664520 is a wasteful number, since it uses less digits than its factorization.

1444664520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1444664520 is about 38008.7426784944. The cubic root of 1444664520 is about 1130.4612208644.

It can be divided in two parts, 144 and 4664520, that added together give a palindrome (4664664).

The spelling of 1444664520 in words is "one billion, four hundred forty-four million, six hundred sixty-four thousand, five hundred twenty".