1446481920 has 208 divisors, whose sum is σ = 4986942912. Its totient is φ = 355860480.

The previous prime is 1446481901. The next prime is 1446481963. The reversal of 1446481920 is 291846441.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 797815 + ... + 799625.

Almost surely, 2^1446481920 is an apocalyptic number.

1446481920 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 1446481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493471456).

1446481920 is an abundant number, since it is smaller than the sum of its proper divisors (3540460992).

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

1446481920 is a wasteful number, since it uses less digits than its factorization.

1446481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1446481920 is about 38032.6428216604. The cubic root of 1446481920 is about 1130.9350654306.

The spelling of 1446481920 in words is "one billion, four hundred forty-six million, four hundred eighty-one thousand, nine hundred twenty".