1448342784 has 162 divisors, whose sum is σ = 4858092330. Its totient is φ = 413779968.

The previous prime is 1448342783. The next prime is 1448342801. The reversal of 1448342784 is 4872438441.

1448342784 is a `hidden beast` number, since 144 + 8 + 3 + 427 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1366041600 + 82301184 = 36960^2 + 9072^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448342783) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106482 + ... + 119310.

Almost surely, 2^1448342784 is an apocalyptic number.

1448342784 is a gapful number since it is divisible by the number (14) 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 1448342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429046165).

1448342784 is an abundant number, since it is smaller than the sum of its proper divisors (3409749546).

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

1448342784 is a wasteful number, since it uses less digits than its factorization.

1448342784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12865 (or 12841 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 1448342784 is about 38057.0989961137. The cubic root of 1448342784 is about 1131.4198311450.

The spelling of 1448342784 in words is "one billion, four hundred forty-eight million, three hundred forty-two thousand, seven hundred eighty-four".