1448756320 has 192 divisors, whose sum is σ = 4053333312. Its totient is φ = 483328000.

The previous prime is 1448756299. The next prime is 1448756339. The reversal of 1448756320 is 236578441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226130 + ... + 1227310.

It is an arithmetic number, because the mean of its divisors is an integer number (21111111).

Almost surely, 2^1448756320 is an apocalyptic number.

1448756320 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 1448756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026666656).

1448756320 is an abundant number, since it is smaller than the sum of its proper divisors (2604576992).

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

1448756320 is a wasteful number, since it uses less digits than its factorization.

1448756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 1448756320 is about 38062.5317077044. The cubic root of 1448756320 is about 1131.5275032406.

It can be divided in two parts, 14487 and 56320, that added together give a palindrome (70807).

The spelling of 1448756320 in words is "one billion, four hundred forty-eight million, seven hundred fifty-six thousand, three hundred twenty".