1448310240 has 768 divisors, whose sum is σ = 6081143040. Its totient is φ = 318504960.

The previous prime is 1448310211. The next prime is 1448310293. The reversal of 1448310240 is 420138441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35324620 + ... + 35324660.

It is an arithmetic number, because the mean of its divisors is an integer number (7918155).

Almost surely, 2^1448310240 is an apocalyptic number.

1448310240 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 1448310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040571520).

1448310240 is an abundant number, since it is smaller than the sum of its proper divisors (4632832800).

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

1448310240 is a wasteful number, since it uses less digits than its factorization.

1448310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1448310240 is about 38056.6714256515. The cubic root of 1448310240 is about 1131.4113568153.

Adding to 1448310240 its reverse (420138441), we get a palindrome (1868448681).

The spelling of 1448310240 in words is "one billion, four hundred forty-eight million, three hundred ten thousand, two hundred forty".