1448425440 has 288 divisors, whose sum is σ = 6162863616. Its totient is φ = 300948480.

The previous prime is 1448425439. The next prime is 1448425477. The reversal of 1448425440 is 445248441.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1448425395 and 1448425404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104349 + ... + 117411.

It is an arithmetic number, because the mean of its divisors is an integer number (21398832).

Almost surely, 2^1448425440 is an apocalyptic number.

1448425440 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 1448425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081431808).

1448425440 is an abundant number, since it is smaller than the sum of its proper divisors (4714438176).

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

1448425440 is a wasteful number, since it uses less digits than its factorization.

1448425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13102 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The square root of 1448425440 is about 38058.1849278181. The cubic root of 1448425440 is about 1131.4413538719.

The spelling of 1448425440 in words is "one billion, four hundred forty-eight million, four hundred twenty-five thousand, four hundred forty".