1448563600 has 135 divisors (see below), whose sum is σ = 3847554739. Its totient is φ = 523705600.

The previous prime is 1448563577. The next prime is 1448563603. The reversal of 1448563600 is 63658441.

It is a happy number.

The square root of 1448563600 is 38060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 159466384 + 1289097216 = 12628^2 + 35904^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1448563600.

It is not an unprimeable number, because it can be changed into a prime (1448563603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8373114 + ... + 8373286.

Almost surely, 2^1448563600 is an apocalyptic number.

1448563600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1448563600 is the 38060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1448563600

1448563600 is an abundant number, since it is smaller than the sum of its proper divisors (2398991139).

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

1448563600 is a wasteful number, since it uses less digits than its factorization.

1448563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 1448563600 is about 1131.4773274110.

The spelling of 1448563600 in words is "one billion, four hundred forty-eight million, five hundred sixty-three thousand, six hundred".