483006810240 has 320 divisors, whose sum is σ = 1734907287960. Its totient is φ = 128054919168.

The previous prime is 483006810227. The next prime is 483006810259. The reversal of 483006810240 is 42018600384.

483006810240 is a `hidden beast` number, since 48 + 300 + 68 + 10 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424864097856 + 58142712384 = 651816^2 + 241128^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 = 483006810195 and 483006810204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8941392 + ... + 8995248.

Almost surely, 2^483006810240 is an apocalyptic number.

483006810240 is a gapful number since it is divisible by the number (40) 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 483006810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867453643980).

483006810240 is an abundant number, since it is smaller than the sum of its proper divisors (1251900477720).

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

483006810240 is a wasteful number, since it uses less digits than its factorization.

483006810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54061 (or 54040 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 483006810240 in words is "four hundred eighty-three billion, six million, eight hundred ten thousand, two hundred forty".