1448746560 has 336 divisors, whose sum is σ = 5343217152. Its totient is φ = 373248000.

The previous prime is 1448746553. The next prime is 1448746567. The reversal of 1448746560 is 656478441.

1448746560 is a `hidden beast` number, since 1 + 4 + 4 + 87 + 4 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1448746553) and next prime (1448746567).

It is a super-2 number, since 2×1448746560² = 4197733190223667200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1448746567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410260 + ... + 2410860.

It is an arithmetic number, because the mean of its divisors is an integer number (15902432).

It is a vampire number, since it can be written as 16740 ⋅ 86544 (with its own digits).

Almost surely, 2^1448746560 is an apocalyptic number.

1448746560 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 1448746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671608576).

1448746560 is an abundant number, since it is smaller than the sum of its proper divisors (3894470592).

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

1448746560 is an equidigital number, since it uses as much as digits as its factorization.

1448746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 1448746560 is about 38062.4034974146. The cubic root of 1448746560 is about 1131.5249622719.

The spelling of 1448746560 in words is "one billion, four hundred forty-eight million, seven hundred forty-six thousand, five hundred sixty".