1448267040 has 240 divisors, whose sum is σ = 5576376960. Its totient is φ = 351060480.

The previous prime is 1448267003. The next prime is 1448267053. The reversal of 1448267040 is 407628441.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1448266986 and 1448267004.

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 39 ways as a sum of consecutive naturals, for example, 137481 + ... + 147639.

It is an arithmetic number, because the mean of its divisors is an integer number (23234904).

Almost surely, 2^1448267040 is an apocalyptic number.

1448267040 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 1448267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788188480).

1448267040 is an abundant number, since it is smaller than the sum of its proper divisors (4128109920).

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

1448267040 is a wasteful number, since it uses less digits than its factorization.

1448267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1448267040 is about 38056.1038468207. The cubic root of 1448267040 is about 1131.4001075090.

The spelling of 1448267040 in words is "one billion, four hundred forty-eight million, two hundred sixty-seven thousand, forty".