1448753040 has 600 divisors, whose sum is σ = 6204454080. Its totient is φ = 306063360.

The previous prime is 1448753017. The next prime is 1448753057. The reversal of 1448753040 is 403578441.

1448753040 is a `hidden beast` number, since 1 + 4 + 4 + 87 + 530 + 40 = 666.

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 = 1448752986 and 1448753004.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35335420 + ... + 35335460.

Almost surely, 2^1448753040 is an apocalyptic number.

1448753040 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 1448753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102227040).

1448753040 is an abundant number, since it is smaller than the sum of its proper divisors (4755701040).

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

1448753040 is a wasteful number, since it uses less digits than its factorization.

1448753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1448753040 is about 38062.4886206880. The cubic root of 1448753040 is about 1131.5266493098.

The spelling of 1448753040 in words is "one billion, four hundred forty-eight million, seven hundred fifty-three thousand, forty".