1448122872 has 192 divisors, whose sum is σ = 4516369920. Its totient is φ = 384797952.

The previous prime is 1448122861. The next prime is 1448122873. The reversal of 1448122872 is 2782218441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1448122872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448122873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1000053 + ... + 1001499.

It is an arithmetic number, because the mean of its divisors is an integer number (23522760).

Almost surely, 2^1448122872 is an apocalyptic number.

1448122872 is a gapful number since it is divisible by the number (12) 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 1448122872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258184960).

1448122872 is an abundant number, since it is smaller than the sum of its proper divisors (3068247048).

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

1448122872 is a wasteful number, since it uses less digits than its factorization.

1448122872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 1448122872 is about 38054.2096488680. The cubic root of 1448122872 is about 1131.3625644550.

The spelling of 1448122872 in words is "one billion, four hundred forty-eight million, one hundred twenty-two thousand, eight hundred seventy-two".