1446007680 has 512 divisors, whose sum is σ = 5685724800. Its totient is φ = 345047040.

The previous prime is 1446007663. The next prime is 1446007681. The reversal of 1446007680 is 867006441.

1446007680 is a `hidden beast` number, since 1 + 44 + 600 + 7 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1446007681) 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 63 ways as a sum of consecutive naturals, for example, 9210162 + ... + 9210318.

Almost surely, 2^1446007680 is an apocalyptic number.

1446007680 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 1446007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842862400).

1446007680 is an abundant number, since it is smaller than the sum of its proper divisors (4239717120).

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

1446007680 is a wasteful number, since it uses less digits than its factorization.

1446007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1446007680 is about 38026.4076662521. The cubic root of 1446007680 is about 1130.8114567258.

The spelling of 1446007680 in words is "one billion, four hundred forty-six million, seven thousand, six hundred eighty".