1448593920 has 120 divisors (see below), whose sum is σ = 5016967956. Its totient is φ = 386285568.

The previous prime is 1448593907. The next prime is 1448593931. The reversal of 1448593920 is 293958441.

1448593920 is a `hidden beast` number, since 14 + 48 + 593 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1405350144 + 43243776 = 37488^2 + 6576^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 8397 + ... + 54476.

Almost surely, 2^1448593920 is an apocalyptic number.

1448593920 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 1448593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508483978).

1448593920 is an abundant number, since it is smaller than the sum of its proper divisors (3568374036).

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

1448593920 is an equidigital number, since it uses as much as digits as its factorization.

1448593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62902 (or 62883 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1448593920 is about 38060.3983163603. The cubic root of 1448593920 is about 1131.4852217033.

The spelling of 1448593920 in words is "one billion, four hundred forty-eight million, five hundred ninety-three thousand, nine hundred twenty".