1448400640 has 72 divisors (see below), whose sum is σ = 3521362320. Its totient is φ = 570679296.

The previous prime is 1448400623. The next prime is 1448400659. The reversal of 1448400640 is 460048441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77316 + ... + 94204.

It is an arithmetic number, because the mean of its divisors is an integer number (48907810).

Almost surely, 2^1448400640 is an apocalyptic number.

1448400640 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 1448400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760681160).

1448400640 is an abundant number, since it is smaller than the sum of its proper divisors (2072961680).

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

1448400640 is an equidigital number, since it uses as much as digits as its factorization.

1448400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16977 (or 16963 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 1448400640 is about 38057.8591095190. The cubic root of 1448400640 is about 1131.4348963066.

The spelling of 1448400640 in words is "one billion, four hundred forty-eight million, four hundred thousand, six hundred forty".