1446348960 has 480 divisors, whose sum is σ = 5927644800. Its totient is φ = 325306368.

The previous prime is 1446348949. The next prime is 1446348971. The reversal of 1446348960 is 698436441.

1446348960 is a `hidden beast` number, since 1 + 4 + 4 + 634 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1446348949) and next prime (1446348971).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9706966 + ... + 9707114.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2^1446348960 is an apocalyptic number.

1446348960 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 1446348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963822400).

1446348960 is an abundant number, since it is smaller than the sum of its proper divisors (4481295840).

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

1446348960 is a wasteful number, since it uses less digits than its factorization.

1446348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1446348960 is about 38030.8948093520. The cubic root of 1446348960 is about 1130.9004126795.

The spelling of 1446348960 in words is "one billion, four hundred forty-six million, three hundred forty-eight thousand, nine hundred sixty".